The function f (x) = 245 (4) x represents the growth of a fruit fly population every year in the orange grove. Stacey wants to manipulate the formula to an equivalent form that calculates every month, not every year. Which function is correct for Stacey's purposes?

Question

Alisson Baker

Mathematics

3 May, 21:56

The function f (x) = 245 (4) x represents the growth of a fruit fly population every year in the orange grove. Stacey wants to manipulate the formula to an equivalent form that calculates every month, not every year. Which function is correct for Stacey's purposes?

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Answers (1)

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Xander Singleton · Answer 1

f (x) = 245 (4) ^x

Manipulating for number of months.

We know that x represents number of years. And also there are 12 months in a year. So we simply divide the x by 12.

Substituting x with x/12.

we get,

f (x) = 245 (4) ^ (x/12)