In this investigation you explored exponential growth situtaions in which the growth factor was not a whole number. In some of these situations, the growth was described by giving the percent growth, or growth rate.
Think about your answers to these questions. Discuss your ideas with other students and your teacher. This write a summary of your findings in your notebook.
1. Suppose you know the initial value for a population and the yearly growth rate.
a. How can you determine the population several years from now?
b. How is a growth rate related to the growth factor for the population?
2. Suppose you know the initial value for a population several yearly growth factor.
a. How can you determine the population several years from now?
b. How can you determine the yearly growth rate?
40 comments:
1a.If I know the initial value for a population and the yearly growth rate I determine the population for the next several years because all I need is an equation(e.g y=10(1.1)^n, I want to determine 2 years all i have to do is replace 2 with n.
1b. The growth rate is related to the growth rate because they both got something to do with initial value of the population.
2a. the same for 1a.
2b. You can determine the yearly growth rate from the growth factor.
1A.) I can determine the population by using an equation for example: Y=1000(1.07)^x and multiplying 1000x1.07 seven times.
1B.) they go by the same rate in an equation each time they are being multiply.
2A.) the same way i used in 1A.
2B.) by multiplying by the growth factor.
BY: CRYSTAL QUINONES RAMOS
1a.if i knew that information all i would do is multiply the growth factor by the initial rate seven times.
B.the growth rate is related to the growth factor because.All your doing is finding the percentage.
2.i can get the population several years from now by multiplying by the growth factor.
b.you can get the yearly growth rate by seeing how much it increases by
a.to get the answer you use the equation and filling in (n).
b. they are similar because they both show growth of the number.
a. by using the equation and filling in (n).
b.by finding the rate is goes by.
YOU CAN DETERMINE THE POPULATION SEVERAL YEARS FROM NOW BY USING THE EQUATION AND FINDING OUT THE MISSING INITIAL. THE GROWTH RATE AND THE GROWTH FACTOR ARE SOMEWHAT SIMILAR BECAUSE THEY BOTH SHOW SOME TYPE OF GROWTH OF A NUMBER. IF YOU WAS TO KNOW THE INITIAL VALUE YOU WOULD DO THE SAME THING FIGURE IT OUT BY USING THE EQUATION. YOU CAN DETERMINE THE YEARLY GROWTH RATE BY FINDING OUT THE RATE.
1.a you can determine the populations several years from now by take the number that they give and multiple it like 100 X 1.04 then you get a answer then you keep doing that untill you get your certin year
b the growth rate is the percentage and growth factor is the number like 1.04
2 you can determine by using a equation
b the yearly growth is the number that you multiple like 1000 x 1.04 1.04 is the yearly growth
1)
A.I can convert the rate into a factor and then multiply it by the number of years that passed.
B.Growth rate is related to growth factor because it can be converted to each other. For example, the growth factor is 1.5. The growth rate will then be 50%.
2)
A. We can determine the population by finding out the growth factor and then multiply itself by the number of years that passed. For example, the g.f will be 1.8. As 10 years pass, multiply 1.8 by itself 10 times. You will then get the amount of people.
B.I can determine the growth rate by converting the growth factor into the growth rate.
1a.) by putting the initial and the growth rate into a equation. that looks like this and example is: Y=350(1.7)^x the initial is: 1.7 the growth rate is:350.
1b.)
2a.)by multilplying the 350*1.7^how many years(1).
2b.)by seeing how many times the number 1.7 is multiplyed by.
I would find the yeary rate then i would find the population then replace the number with the letter and get my answer
1v) they both are related because of the population
they both are rlated because of the poulation value
2v from the growth rate
1a) the way i could determine the population in several years from now it will be by fist making a equation
for example y=1,250(1.04^x)
1a) If you know the initial value and the growth rate and to find the growth factor you'll keep multiplying the initial value.
1b)The way the growth rate is related to growth factor because they every time they multiply is by the same rate.
2a)If you know the initial value and the growth rate and to find the growth factor you'll keep multiplying the initial value.
2b)You will determine the growth rate from the growth factor.
1a.you can find it by taking the growth factor and multiply it with the rate and thats how you find it.
1b.it is related because you multiply them together.
2a.you can multiply it by the rate to get the yearly population.
2b.you can find the yearly growth rate by turning the growth factor to an decimal. --->MARQUISE B.<---
1A. How can you determine the population several years from now?
If you know the initial value for a population and the yearly growth rate yo can make an equation this is the equation Y=A(B)^X th A stands for the starting point the B stands for the Growth Factor the growth factor is a percent turned into a decimal n then added to 100% as a decimal which is 1.0.
1B. How is a growth rate related to the growth factor for the population?
The growth rate is a percent on how much the population will increase by and the growth factor is the growth rate plus 100% as a decimal.
2.Suppose you know the initial value for a population several yearly growth factor.
2A.How can you determine the population several years from now?
the way you can determine the population several years from now is yo take the initial value and the growth rate(percent) and you make an equation the initial value goes first then the growth factor goes second(inside the parenthesis ) and then the exponent goes on the outside of the parenthesis and then whatever year you want to find out you just plug the year number as the exponent.
2B. How can you determine the yearly growth rate?
If you have the growth factor lets say its 1.25 then the growth rate will be 25% because to get the growth rate you need the growth rate in order to create the growth factor because if you have the growth rate of 25% then you have to just add 100% to it then you'll get 125% then you have to turn that into a decimal which is 1.25 because you have to move a decimal over to the left twice then you will get your decimal and then vise versa to get growth rate.
1a) if you know the initial value and the yearly growth rate then you need to convert the rate to a decimal this is called the growth factor and then keep multiplying by the same growth factor to determine the population several years from now.
1b) the growth rate is related to the growth factor because they both have to do with the initial value. they are also related because the growth rate is just the percent from 100.If you look at the growth factor you see that the growth rate is in the growth factor.
2a)if you know the initial value and the growth factor then you can times the initial value by the growth factor to get the next year and you keep multiplying by the growth factor.
2b)you can determine the yearly growth rate by converting the decimal into a fraction.
I think you determine the population by making a table or using an equation. well the growth rate is what it increases by and the gf is what it started with.
1a. To determine the population several years from now I would take the initial value and put into an equation with the growth rate.
1. The way you can find the population is to multiply the starting point or initial value which is what ever x is when y is 0 by the growth factor.
b. The way the the growth factor and rate are related is that the growth factor is the number that is the decimal and the growth rate is the decimal turned into a percent by moving the decimal to the right 2 spaces then subtract 100 from it.
1.if i new the initial value and the growth rate then i would be able to find any value for each year.
2.i would follow this equation y=N(gr^x)
2.i would solve it by equation wise and fill in the numbers in with the letters.
b.just times it by 100.
If you know the initial value and the growth rate then all you need to do is find the growth factor by multiplying the growth rate by 100 the you wold just find the equation and figure amount the amount of years you need.The growth factor and the growth rate is related because if you multiply the growth rate by 10 then you get the growth factor.
2)If you know the initial value and growth factor then you can jut multiply the y intercept by the growth factor to what ever amount of years you need to figure out.
Iniko 8e
by jashua
i think that the work that we did today was good for me because it help me understand the work more .i thought that answer incorrect because i all way for got some of the work.
1a) i can do that by looking at the calender and it would tell me or by the year.
1b)i think that they are the same because they both have to do with numbers and they are also related because one if=s the persent and the other one is the decimal thats what i think
2a) i dont understand
i dont under stand
1A.you can tell because you can get an equation from the growth factor and initial value.
1B. it is related because the growth rate is apart of the growth factor but just in a percentage.
2A. you can tell the several years from now by making a equation wit the growth factor and the initial value.
2B. You can determine it by the growth factor because the growth rate is just the percentage of the growth factor.
1.a.) If you have the value of population which is the starting point, and the growth rate you can solve the problem. But first you turn the growth rate to a decimal to make it the growth factor. To get the growth factor you move the decimal twice to the left and get it.
b.) They are the same numbers just written in different ways. The growth rate is written in percent and the growth factor in decimal.
2.a.) Like I said above if you have both of the pieces of information you can make an equation and solve for any year.
b.) To get the growth rate you move the decimal twice to the right and get your answer.
1a.bye multiplying each number bye the growth factor each time.
1b.because its in a different way like its a decimal and a percent thats why its related.
2a.the number with power of 7
2b.example 1.5 which is 50% so you have to move the decimal 2 spots over and then put a percent sign and then take away 100.
1a. If I know the initial value for a population and the yearly growth rate I can determine the population several years from now. All i need to do it get the growth rate do it to the power of the year, then multiply it by the initial value.
1b. A growth rate is related to the growth factor. There related because they both stay the same in the table also because you find the growth rate by having the the growth factor.
2a. You can determine the population several years from now by making an equation.
2b. You can determine the yearly growth rate by using the growth factor. Foe example, let's say your growth factor is 1.04, you move the decimal two times to the right. Now you have 104%, then you subtract that from 100 and you get 4% that's your growth rate.
1a. I could determine how the population grows a several years from now is by making a equation using the initial value and the growth rate, by changing the percent to a whole number by moving the decimal to the left.
1b. There related because you need the growth rate to get the growth factor or the growth factor to get the growth rate. The growth rate is a percent and the growth rate is a number.
2a. put the growth factor to make a equation so that you multiply to get the future amount of population.
2b. All you have to do is move the decimal to the right twice and minus 100 from it and thats how you have your growth rate.
1)You have to turn the growth rate in to the decimal.The growth rate is a percent on how much the population will increase by and the growth factor is the growth rate plus 100% as a decimal.
2)You have to write a equation to help you.
1a. You can determine the population several years from now by taking the yearly growth rate and make that the the power of the year, then multiplying it by the initial value.
1b. There related because all you do is find the percent of the growth factor.
2a. You can determine the population several years from now by making an equation. Then by using the equation you will find the answer.
2b. You can determine the yearly growth rate by using the growth factor. for example, let's say you have a growth rate of 1.04, you move the decimal two times to the right, now you have 104%. Then you subtract 100 from this number, now you have 4%, and that's your growth rate.
1.If I know the information all i would have to do is multiply the intial value for the growth rate.
a. what i can do is use the equation to figure out the problem like I would be to multiply th growth rate
b.They are related in the promblem because
I can determine the population several years from now by using the equation.It is related to the growth factor because the growth rate is how many numbers you have to go up and the growth factor is the starting value.I can make an equation if their isn't one.I can determine the yearly growth rate by using the growth factor(the starting value)
1a. you can figure it out by doing the growth rate into a decimal to then attach to the equation to help figure out the answer.
b. The growth rate is related to growth factor because you are just moving the decimal to a percent they have the same value.
2a. you can figure it out by doing the growth factor to the power of N * by the start value to figure out the population.
b. By figuring out the what are the numbers going up by each time then make the growth factor growth rate.
1a. If I knew the initial value for a population and the yearly growth rate I will put the initial and growth rate in to an equation like Y=200(1.7^x)
b. By multiplying the 200 times 1.7 the amount of years
2a.The same as 1a.
b.By seeing how many times 1.7 is multiply by.
1.a.
You can tell because of the value you have now. You use the Growth Rate and use the exponent. Then when you have that you times it by the value.
1.b.
The Growth rate is what the percentage it goes up by. Growth Factor is the base number. It's related because if you have the Growth Factor as your base. Then you have the Growth Rate as your exponent.
A. How can you determine the population several years from now? If I know the initial value for a population and the yearly growth rate I will be able to determine the population several years from now. Also I will need a equation for Ex.) 100(1.4)^x will be a equation.
1B.)How is a growth rate related to the growth factor for the population? The growth rate and growth factor is related because they deal with initial value for the populations.
2A.) How can you determine the population several years from now? You got to know the initial value for a population and the yearly growth rate to determine the population. You also need a equation.
2B.)You can determine the yearly growth rate from the growth factor.
A.) how to determine the yearly growth rate for several years from now you would make a a table so you would have the growth rate and then you take the initial rate should be the growth rate. Then after that you would take the growth factor and the power of 0 to multiply to the growth rate number to find out what would be the yearly population.
b.) The growth rate is related to the growth factor is because they both deal with the initial value in the equation.
2a)by finding the population u should do the growth factor and multiply it by the growth rate and u should get your answer.
2b)you can determine the growth rate by taking the growth factor and the power of 0 multiply by the growth rate. the starting point should be the growth rate.
If you know the initial growth and the growth rate then you will be able to come up with an equation. When you come up with the equation you can also determine the population several years from now. The growth factor and growth rate have some relations between them because using the growth factor you can find the growth rate. If i knew the start value and growth factor, I can determine the population from several years from now by putting them in an equation and solving for it. I can determine the yearly growth factor by using the growth rate, if given one. I can also find the growth factor by finding common differences between years
The way I could determine the population several years from now is by changing the rate into a factor and then multiply it by the number of years that already pasted.
1B} i think the way growth rate is related to growth factor is because all your doing is turning that percentage into a decimal. for example~40% might be the growth factor in order to make an equation u havve to change it into a decimal and the decimal to that would be 1.4
2a}by doing it the same way i did in part 1a.
2b}by seeing the growth factor what i mean is say if u had a growth factor that was 75% and u needed a growth rate u would have to multiply by 100 to get the answer of 1.75 then u would have your growth rate then all u would have ot do is plug it in the equation to get your answer.
Ms.Geralda 8f
1a.)The way I could determine the population several year from now is to make a equation and then i will use the growth rate and power to the growth rate then when I get the answer i multiply by the initial Value like the starting Value for example Y=1000(1.04)to the n power my starting Value is 1000 and my growth rate is 1.04 the what i need to do.
1B.)The growth factor and the Growth rate is the same number is use turning percent into decimal and the other thing is the same number that population is going up by.
2A.)Is the same thing as number one it use put the number in percent form
2b.)The same thing as number one.
1a.) If i knew the growth rate for a population and i wanted to figure out the population after several years than i would convert the growth rate into a decimal so i have to growth factor than use he equation i can come up with to figure all that out.
1b.) The growth rate is related to the growth factor because the growth rate is the growth factor just in percentage form.
2a.) By making this into an equation.
2b.) You can determine the yearly growth rate by converting the decimal (growth factor) into a percentage (growth rate).
1A. The way can determine the population for the population is i would do the growth the start vale times the growth rate.
1B. The way that it is the same is the only thing that is different is the growth factor is a percent & the growth rate is the percent in a decimal.
2A. The way can determine the population for the population is i would do the growth the start vale times the growth rate.
2B.You would would use the growth factor & the growth rate
1a]-->What i would do is take the initial value and the growth rate then all i need to do is find the growth factor by multiplying the growth rate.
1b]-->I think the growth rate is related to the growth factor because all your doing is finding the percentage.
2a]-->The several years from now by making an equation with the growth factor and the initial value.
2b]-->By multiplying by the growth rate.
Post a Comment