Ateam of scientists estimate the current number of butterflies in a park to be 20 thousand. the butterfly population is expected to increase at a rate of 4% per year. which equation models the number of butterflies, in thousands, in the park after n years? a. 0.04(20)n b. 20(1.04)n c. 1.04(20)n d. 20(0.04)n

Option B is the correct answer.

Explanation:

 Current number of butterflies in the park = 20 thousand.

 Rate of increase of butterfly population = 4% = 0.04

The population of butterfly after 1 year = 20+0.04*20 = 20*1.04

The population of butterfly after 2 years =  20*1.04 + 20*1.04*0.04 = 20*1.04*1.04

 The population of butterfly after 3 years =  20*1.04*1.04 + 20*1.04*1.04*0.04 = 20*1.04*1.04*1.04

So, population of butterfly after n years = 20*(1.04*1.04*1.04* .... n times)

Option B is the correct answer.