The function f(x) = 4(2)x represents the growth of a butterfly population every year in a remote swamp. Jan wants to manipulate the formula to an equivalent form that calculates five times a year, not just once a year. Which function is correct for Jan's purpose, and what is the new growth rate?

f(x) = 4(1.15)x; growth rate is 5%

f(x) = 4(1.15)5x; growth rate is 15%

f(x) = 4(2)x; growth rate is 200%

f(x) = 4(2)x, growth rate is 5%

Question

The function f(x) = 4(2)x represents the growth of a butterfly population every year in a remote swamp. Jan wants to manipulate the formula to an equivalent form that calculates five times a year, not just once a year. Which function is correct for Jan's purpose, and what is the new growth rate? 

 f(x) = 4(1.15)x; growth rate is 5%

 f(x) = 4(1.15)5x; growth rate is 15%

 f(x) = 4(2)x; growth rate is 200%

 f(x) = 4(2)x, growth rate is 5%