## anonymous one year ago The function f(x) = 245(4)^x represents the growth of a fruit fly population every year in the orange grove. Stacey wants to manipulate the formula to an equivalent form that calculates every month, not every year. Which function is correct for Stacey's purposes?

1. anonymous

well.. there are 12 months in 1 year so for any value, one twelth of that will be what every month averages to $$\bf f(x)=245(4)^x\impliedby yearly \\ \quad \\ f(x)=\cfrac{245(4)^x}{12}\impliedby monthly$$

2. anonymous

alright these are the answer choices f(x) = 45(4)^x f(x) = 45(4^12)^x/12 f(x) = 2752(4)x f(x) = 245(4 ^1/2)^12x

3. anonymous

@jdoe0001 based on ur response i'd say it's either B or D

4. kropot72

Please confirm that choice D should be written as: $\large 245(4^{\frac{1}{12}})^{12x}$

5. anonymous

@kropot72 yes it's written exactly like that

6. kropot72

Well, that is the correct choice.

7. anonymous

kropot could you help me when you are done

8. kropot72

@Condor34 Sorry, maybe later. I must log out now.

9. anonymous

thank you!!! i was unsure because B & D seemed similar

10. kropot72

You're welcome :)