Distinguish additive change from multiplicative change in tables, graphs, and contexts.
Choose a smart test for the structure
Problem
Consecutive figure numbers have outputs \(2\), \(5\), \(8\), and \(11\). Which complete response correctly analyzes the pattern?
A. Compare consecutive differences. B. Compare consecutive ratios. C. Note only that the values grow.
Big Picture
What this problem is really about
Since the figure numbers advance by equal steps, consecutive output differences are the direct test for a repeated additive change. Compute every difference and require them to agree; if they do not, ratios would be the next useful test. This is stronger than merely noticing growth, because both additive and multiplicative patterns can increase.
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