The function f(x) = 467(5)x represents the growth of a ladybug population every year in a wooded area. Adrianne wants to manipulate the formula to an equivalent form that calculates every 3 months, not every year. Which function is correct for Adrianne's purposes?

1/4 the time period, so 1/4 the ate for 4 times the # periods.

g(x) = 467*(5^(1/4))^(4x) = 467(1.4953)^(4x)