The function f(x) = 12(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 159%

f(x) = 4(1.59)^x; growth rate 4%

Question

The function f(x) = 12(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 159% 

 f(x) = 4(1.59)^x; growth rate 4%

anonymous · Answer

Just for the people who DIDNT help me... the answer is C. :P