Question

The function f(x) = 4(2)x represents the growth of a butterfly population every year in a remote swamp. Jan wants to manipulate the formula to an equivalent form that calculates five times a year, not just once a year. Which function is correct for Jan's purpose, and what is the new growth rate?

Answer 1

the function

f(x) = 4(2)x

is correct in this form ?

Answer 2

can you post an image about this function please ?

Answer 3

In the question it is f(x)=4(2)^x not f(x)=4(2)x

Answer 4

I don’t get an image I get the answer choices of
f(x) = 4(1.15)^x; growth rate is 5%
f(x) = 4(1.15)^5x; growth rate is 15%
f(x) = 4(2)^x; growth rate is 200%
f(x) = 4(2)^x; growth rate is 5%
@jhonyy9

Answer 5

5 times a year changes x in the exponent to 5x

Answer 6

But you have only one choice with 5x. So I guess your initial equation is f(x) = 4(1.15)^x

Answer 7

If we match the answer choices and compare growth rates with % equivalent then correct choice is B.
It has a coefficient of 1.15 which reflects 15%

Answer 8

thank you
@mhanifa

Answer 9

That was the correct answer

Answer 10

You are welcome! Glad this helped