Answer: C. [tex]f(x)=467(5)^{\frac{1}{4}x}[/tex]
Step-by-step explanation:
Given: The function [tex]f(x)=467(5)^x[/tex] represents the growth of a ladybug population every year in a wooded area.
If Adrianne wants to manipulate the formula to an equivalent form that calculates every 3 months, not every year.
Then, the time changes from 1 year to 3 months.
Since, 1 year = 12 months
And 1 month = [tex]\frac{1}{12}[/tex] year
So, 3 months = [tex]\frac{3}{12}=\frac{1}{4}[/tex] year
So, the required function would look like :_
[tex]f(x)=467(5)^{\frac{1}{4}x}[/tex]
Hence, C is the right answer.
