Distinguish linear from exponential situations by equal differences versus equal factors over equal intervals.
Translate growth language into additive or multiplicative form
Problem
Translate this growth language into additive or multiplicative form: The account gains \(15~\text{dollars}~\text{each}~\text{month}\).
Big Picture
What this problem is really about
Growth language becomes clearer when we ask what happens in one time step. We’ll identify whether the repeated quantity is a fixed dollar amount, a percent, or a unitless factor, and write the corresponding update from the previous value to the new value. The resulting difference or ratio then names the change as additive or multiplicative.
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