Question

The function f(x) = 4(3)x represents the growth of a dragonfly population every year in a remote swamp. Erin wants to manipulate the formula to an equivalent form that calculates four times a year, not just once a year. Which function is correct for Erin's purpose, and what is the new growth rate?

Answer 1

i have the answer choices too if you think thatll help??

Answer 2

i have the answer choices too if you think thatll help??

Answer 3

if you have the answers to hand, this is the clue: \(\large f(x) = 4(3)^x = 4(3)^\frac{4x}{4}\)

they want you to re-write the question so that you are compounding a quarterly rate 4 times over the period of a year.

use \((a^n)^m = a^{n \times m}\)

i think the question is really badly written, and really quite pointless to, so you have my sympathy,.... for what it's worth :p