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

For this case we have the following exponential function:
 
 By power properties we can rewrite this function.
 We have then that the equivalent expression is:
 
 Rewriting we have:
 
 
 the following is an equivalent function
 c. f (x) = 40 (1.1699) x