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

4 (3)^x = 4(3)^(4x/4) = 4 (3^(1/4))^(4x)
= 4 (1.316)^(4x)

rate = 31.6% (or about 32% according the choices)

Answer 2

thank youu!!

Answer 3

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