Question

The function f(x) = 16(5)x represents the growth of a bee population every year in a remote swamp. Jennifer wants to manipulate the formula to an equivalent form that calculates two times a year, not just once a year. Which function is correct for Jennifer's purpose, and what is the new growth rate?

Answer 1

@hero @Jim766

Answer 2

f(x)=8(5)^x; growth rate 500%
f(x)=8(5)2^x; growth rate 8%
f(x)=8(2.24)^x; growth rate 8%
f(x)=8(2.24)^2x; growth rate 224%

Answer 3

5^x=t^2x,
5^x=(t2)^x
t^2=5,t=5√=2.24
new rate=2.24
i think it can be 4th but why 8 in place of 16,i don't know.

Answer 4

Alright so that gets rid of answers A and B. Now how do we find the growth rate?

Answer 5

2.24 * 100 = 224%

Answer 6

Alright sweet, thank you.

Answer 7

I still assert that the original f(x) is NOT equivalent to any of the answer choices. You can simply graph each equation and see for yourself.

Answer 8

https://www.desmos.com/calculator/ds9gvwiqss

Answer 9

Thank you