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?
f(x) = 4(3)x; growth rate 300%
f(x) = 4(3)x, growth rate 4%
f(x) = 4(1.32)x; growth rate 4%
f(x) = 4(1.32)4x; growth rate 32%

Answer 1

f(x) = 4(3)^x ?

Answer 2

actually there is a right answer here.. do you know the compound interest formula?

Answer 3

noo

Answer 4

yeah, you need that

Answer 5

to solve this mechanically, just re-write

\(f(x) = 4 (3^x)\)

as

\(f(x) = 4 (3^{4x})^{1/4} = 4 (3^{1/4})^{4x}\)


then calculate \(3^{1/4}\)

however, i am totally unsure that any of this makes any practical sense