Distinguish additive change from multiplicative change in tables, graphs, and contexts.
Match a story to the right structure
Problem
A plant's height increases \(3~\text{inches}~\text{per}~\text{week}\). Which candidate table matches the height increases for weeks \(0,~1,~2,~\text{and}~3\)?
A. \(0,~3,~6,~9\) B. \(1,~3,~9,~27\) C. \(0,~2,~4,~8\) D. \(0,~3,~9,~27\)
Treat three inches per week as accumulated growth, so zero elapsed weeks must correspond to no accumulated increase. Multiply the weekly rate by each week number to generate an independent height-increase list, then compare that full list with every displayed table. Matching the starting row as well as every repeated step prevents a surface-level match to only one value.
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