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

f(x) = 4(4)x; growth rate 400%
f(x) = 4(4)3x, growth rate 4%
f(x) = 4(1.59)3x; growth rate 59%
f(x) = 4(1.59)x; growth rate 4%

Question

The function f(x) = 4(4)x represents the growth of a fly population every year in a remote swamp. Jackie wants to manipulate the formula to an equivalent form that calculates three times a year, not just once a year. Which function is correct for Jackie's purpose, and what is the new growth rate?

 f(x) = 4(4)x; growth rate 400%
 f(x) = 4(4)3x, growth rate 4%
 f(x) = 4(1.59)3x; growth rate 59%
 f(x) = 4(1.59)x; growth rate 4%