Question

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?

A: f(x) = 582(7 to the one sixth power)6x
B: f(x) = 52(7)x
C:f(x) = 582(712)the x over 12 power
D: f(x) = 5852(7)x

Answer 1

the answer is A

Explanation:

We know that there are 12 months in a year so every 2 months would be 2/12 and we simplify that to 1/6 and in the equation since we have just identifies that 6 is the # of times the interest was applied that also goes outside goes the parenthesis.

A=P(1+r/n)^nt

Answer 2

Well, we know that 1 years have 12 months,

so 2 months would be 2/12 years = 1/6 years

So the function that is correct for Troy's purpose is :

f(x) = 582 ( 7 1/6) 12x

Hope this helps