Recognize constant percent growth or decay as evidence for an exponential model.
Write an exponential model from initial value and percent increase
Problem
Build the exponential model with initial value \(200\) and a \(6\%~\text{increase}~\text{each}~\text{interval}\).
Big Picture
What this problem is really about
An exponential model separates the value at zero intervals from the factor repeated during each interval. We’ll place the initial value as the coefficient, convert the percent increase into a whole growth factor, and use the interval count as the exponent. Zero-input and one-step checks will verify both parameters.
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