Question

The function f(x) = 16(2)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?

a) f(x) = 16(2)x; growth rate 200%
b) f(x) = 16(2)2x; growth rate 8%
c) f(x) = 16(1.41)x; growth rate 8%
d) f(x) = 16(1.41)2x; growth rate 41%

Answer 1

hello

how is your day going?

hope well

so the answer to this is going to be


f(x) = 16(1.41)2x

hope this helps

have a good day

-im out

Answer 2

because she wants to go from once a year to twice a year the (2) needs to be raised to the 1/2 power and x needs to be multiplied by the number of times per year

so you get 16(2^1/2)2x

2^1/2 = 1.41

so f(x) = 16(1.41)2x

the only answer that has the correct equation is D