50 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?

The answer is f(x)=582(71/6)6x

Step-by-step explanation:

    calculates the growth of a mosquito population every 2 months in a remote swamp.          

Step-by-step explanation:

Given : The function represents the growth of a mosquito population every year in a remote swamp.  

We have to manipulate the formula to an equivalent form that calculates every 2 months.

Since, the function in growth model   is given by

Where a is initial amount

and r is rate of increase

and n is time

Since, now the population is calculated after every 2 months that  is

In 1 year, it is calculated 6 times.

So, We multiply the time by 6 and rate factor is divided 6 times .

So, the function now becomes,

Thus,   calculates the growth of a mosquito population every 2 months in a remote swamp.  

i believe the correct answer is b.