Problem

What is the doubling time for the function $f(x)=9(1.2)^{x}$ ? 8.25 3.802 1.44 12.96 Not enough information

Solution

Step 1 :The doubling time for an exponential function is given by the formula T = ln(2)/ln(b), where b is the base of the exponential function.

Step 2 :In this case, b = 1.2.

Step 3 :So, we need to calculate T = ln(2)/ln(1.2).

Step 4 :Using the formula, we get T = 3.8017840169239308.

Step 5 :So, the doubling time for the function \(f(x)=9(1.2)^{x}\) is approximately \(\boxed{3.802}\).

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Source: https://solvelyapp.com/problems/20052/

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