Match and compare words, tables, graphs, and simple equations that represent the same relationship.
Rewrite both forms before comparing
Problem
Representation \(A\) is a \(\$12\) gym signup fee plus \(\$8~\text{per}~\text{visit}\). Representation \(B\) is \(y~=~8x~+~12\). State each relationship's starting value and rate, then determine whether they match.
Big Picture
What this problem is really about
Put both representations into the same start-and-rate summary before judging equivalence. In the story, separate the one-time signup fee from the repeating per-visit charge; in the equation, read the constant term and the coefficient of the visit variable in those same roles. Matching units and one test input provide an independent check.
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