Recognize constant rate of change as evidence for a linear model.
Build a linear model from rate and initial value
Problem
Build the linear model with constant rate \(4\) and initial value \(9\).
Big Picture
What this problem is really about
A linear model combines a starting amount with repeated constant change, and those ideas occupy different positions in the formula. We’ll place the rate on the input and keep the initial value as the standalone constant. Checking the zero-input output and a one-unit input change will verify that neither role was swapped.
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