Answer: C. \(f(x)=467(5)^{\frac{1}{4}x}\)
Step-by-step explanation:
Given: The function \(f(x)=467(5)^x\) 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 = \(\frac{1}{12}\) year
So, 3 months = \(\frac{3}{12}=\frac{1}{4}\) year
So, the required function would look like :_
\(f(x)=467(5)^{\frac{1}{4}x}\)
Hence, C is the right answer.
