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

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%

Answer 2

I can narrow it down to B or C.

Answer 3

whats your thoughts moreso?

Answer 4

\(\color{#0cbb34}{\text{Originally Posted by}}\) @moreso
\(\color{#0cbb34}{\text{Originally Posted by}}\) @moreso
\(\color{#0cbb34}{\text{Originally Posted by}}\) @moreso
\(\color{#0cbb34}{\text{Originally Posted by}}\) @moreso
we can use the identity \[ \large 4(2)^{x} = 4(2)^{\frac 1 5 5x}
= 4(1.15 )^{5x}
\]

\(\color{#0cbb34}{\text{End of Quote}}\)
\(\color{#0cbb34}{\text{End of Quote}}\)
\(\color{#0cbb34}{\text{End of Quote}}\)
\(\color{#0cbb34}{\text{End of Quote}}\)

Answer 5

unless the answer choices I found are wrong( which I don't think is accurate) I believe B would be the answer to this question no?

Answer 6

yes b) seems correct, how did you get the choices?

Answer 7

I see. I missed the rest of your answer.

Answer 8

but we have to be careful how we define x,
is x in units of years, or units of fifth of a year

Answer 9

I searched online and found 3 earlier questions on question cove with these choices included

Answer 10

I often do that when an incomplete question is posted.

Answer 11

the growth rate is definitely 15%
so then b) does make sense

Answer 12

nice :)

Answer 13

Its worked so far