Help please. Will give medal and fan.

The function f(x) = 396(3)^x represents the growth of a dragonfly population every year in a remote swamp. Pierre wants to manipulate the formula to an equivalent form that calculates every month, not every year. Which function is correct for Pierre's purposes?

A) f(x) = 33(3)^x
B) f(x) = 396(3^12)^x/12
C) f(x) = 396(3^1/12)^12x
D) f(x) = 4752(3)^x

Question

Help please. Will give medal and fan.

The function f(x) = 396(3)^x represents the growth of a dragonfly population every year in a remote swamp. Pierre wants to manipulate the formula to an equivalent form that calculates every month, not every year. Which function is correct for Pierre's purposes? 

A) f(x) = 33(3)^x 
B) f(x) = 396(3^12)^x/12 
C) f(x) = 396(3^1/12)^12x 
D) f(x) = 4752(3)^x

anonymous · Answer

I was thinking the answer would be B but not sure

linn99123 · Answer

I would honestly say C would be the correct answer to me...
You would square it not divide it :)

anonymous · Answer

oh ok well i started to say B or C but then second guessed myself math is not my best subject.  thank you

anonymous · Answer

B and C are the same aquations?

anonymous · Answer

396(3)^x
=
396(3^12)^x/12
=
396(3^12)^x/12

anonymous · Answer

So are you saying that either B or C would be correct?

linn99123 · Answer

B and C are different
B) f(x) = 396(3^12)^x/12 you divide x by 12
C) f(x) = 396(3^1/12)^12x you multiply x while squared i believe.

anonymous · Answer

the answer is A

anonymous · Answer

396*3^x is the growth in one year.
then (396*3^x)/12 is the growth in a month

anonymous · Answer

(396*3^x)/12=33*3^x

anonymous · Answer

oh ok thank you so much

linn99123 · Answer

Dont forget to state weather its right or wrong :D
It helps out future users!