## anonymous one year ago 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?

1. SolomonZelman

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.

2. SolomonZelman

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

3. anonymous

but every 2 months