Question

Jacqueline works at an aquarium where she keeps a record of the number of fish. The population of fish increases at a rate of 8.3% per year. The following expression represents the number of fish in the aquarium after t years.

21(1.083)^t

The expression that reveals the approximate monthly growth rate of the population of fish can be modeled by the expression a^bt .

Rounding to the nearest thousandth, determine the values of a and b that reveal the approximate monthly growth rate of the population of fish.


A) a = 12 and b = 1.083

B) a = 1.006 and b = 12

C) a = 1.083 and b = 12

D) a = 12 and b = 1.006

Answer 1

@AZ

Answer 2

?

Answer 3

idk how to solve this but i think a user called AZ might so i @ him lol

Answer 4

oh ok thanks

Answer 5

That's funny.. I answered this exact question earlier today

Answer 6

oh wow lol

Answer 7

So we have an expression that is in the form of

\( \Large a(1 + b)^t\)

This tells us the growth or decline for every year (t is in years)

to make it so that way we can calculate the growth/decay every month, we would have to do:

\( \Large a\left(1 + \dfrac{b}{12}\right)^{12t}\)

Answer 8

Well well well, I just checked and apparently you were the one who asked this question earlier LOL

https://questioncove.com/study#/updates/60771e177bbef290ef155c00

Answer 9

I did?

Answer 10

yes

Answer 11

It makes sense because my thing restarted but I don't remember this question

Answer 12

im sorry my memory is bad

Answer 13

same numbers and all

so we have

\(\Large 21(1 + 0.083)^t\)

that is what they originally gave us

we want to make it into months

so what is 0.083/12 = ?

Answer 14

because basically all we're doing is

\(\Large 21\left(1 + \dfrac{0.083}{12}\right)^{12t}\)



and then 't' will be in months


and it will be in the form of \(\Large a^{bt}\)

so what would be the number in the parenthesis- that's going to be your 'a'

and what is the number in the exponent right next to 't'

that's your 'b'

Answer 15

thank uuuuu again lol

Answer 16

you're welcome