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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

Respuesta :

(1.04)^4  = 1.1699

so the correct choice is the third one.

Answer:

[tex]f(x)= 40(1.1699)^x[/tex]

Step-by-step explanation:

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

[tex]f(x)=40(1.04)^{4x}[/tex]

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

In the give[tex](1.04)^4= 1.16985856[/tex]n function,

[tex](1.04)^4= 1.1699[/tex]

So f(x) becomes [tex]f(x)= 40(1.1699)^x[/tex]

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