The function f(x) = 582(7)x represents the growth of a mosquito population every year in a remote swamp. Troy wants to manipulate the formula to an equivalent form that calculates every 2 months, not every year. Which function is correct for Troy's purposes?

Question

solomonzelman · Answer

Got disconnected, apologize.

Your monthly rate is going to be 12 times smaller than the yearly rate.
$\large\displaystyle f(x) = 582(7)^{  x }$    is a yearly growth.

$\large\displaystyle f(x) = 582(7)^{  \left(^x/_{12}\right) }$ is the monthly rate.

solomonzelman · Answer

same way, you can rewrite it as:

$\large\displaystyle f(x) = 582(\sqrt[12]{  7})^{  x}$

anonymous · Answer

but every 2 months