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?

a. f (x) = 40 (4.1600) x

b. f (x) = 480 (1.04) x

c. f (x) = 40 (1.1699) x

d. f (x) = 480 (4.1600) x

Th equivalent fraction of this expression is determined by just mutiplying the constants in the original expression and see if anything fits to the new form. We multiply 1.04 by 4 to equal to 4.16 and retain the 40. Hence the answer is f (x) = 40 (4.1600) x.