Match and compare words, tables, graphs, and simple equations that represent the same relationship.
Find the story that fits the math
Problem
Match \(y~=~5x~+~12\) to its contextual story. A. A gym charges a \(\$12\) signup fee and \(\$5~\text{per}~\text{visit}\). B. A gym charges a \(\$5\) signup fee and \(\$12~\text{per}~\text{visit}\). C. A gym charges \(\$12~\text{each}~\text{month}\) with \(\text{no}~\text{per}\text{-}\text{visit}~\text{cost}\). D. A gym starts at \(\$10\) and adds \(\$5~\text{per}~\text{visit}\).
Big Picture
What this problem is really about
Read the equation as a story template before considering the situations. The constant gives the amount present when the input is zero, while the coefficient gives the signed amount added for each unit of the input; attach the stated context’s units to both. The matching situation must preserve the start, rate, direction, and meaning of the variable.
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