Answer: \(f(x) =245(1.25)^{12x}\)
Step-by-step explanation:
Since, The function that shows the growth of fruit fly population every year is,
\(f(x) =245(4)^{x}\)
⇒ \(f(x) =245(1+3)^{x}\)
Where 3 is the annual growth rate and x is number of years (time).
If he want to calculate the growth of the fly in every month then
The total time = 12x
Monthly growth rate = \(\frac{3}{12} = 0.25\)
Thus, the total growth of the fruit fly after x years,
\(f(x) =245(1+0.25)^{12x}\)
⇒ \(f(x) =245(1.25)^{12x}\)
Which is the required function.
