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?
The answer is F(x)=4(4)^3x? am i correct

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? 
The answer is F(x)=4(4)^3x? am i correct

anonymous · Answer

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solomonzelman · Answer

Well, looking at   $\normalsize\color{blue}{ f(x)=4(4)^x}$ , it would make sense to represent a growth 3 times per year with  $\normalsize\color{blue}{ f(x)=4(4)^{3x}}$  because the exponent x  is going to be 3 times grater, since you triple the yearly growth.

(I think)