Question

The expression below shows the population of butterflies in a forest after 4x years: f(x) = 40(1.04)^4x Which of the following is an equivalent function? f(x) = 40(4.1600)^x f(x) = 480(1.04)^x f(x) = 40(1.1699)^x f(x) = 480(4.1600)^x

Answer 1

(1.04)^4  = 1.1699

so the correct choice is the third one.

Answer 2

Answer:

$f(x)= 40(1.1699)^x$

Step-by-step explanation:

The expression below shows the population of butterflies in a forest after 4x years.

$f(x)=40(1.04)^{4x}$

To find out the equivalent function, we need to multiply the exponent 4 inside the parenthesis. $(a)^m = a^m$

In the give$(1.04)^4= 1.16985856$n function,

$(1.04)^4= 1.1699$

So f(x) becomes $f(x)= 40(1.1699)^x$