Create and solve one-variable equations and inequalities, including absolute-value, linear, quadratic, simple rational, and exponential cases.
Write and solve a linear equation for a fixed fee plus a rate
Problem
A gym charges a fixed \(\$20\) fee plus \(\$5~\text{per}~\text{visit}\) for a total cost of \(\$65\). Let \(v\) be the number of visits. Write and solve a linear equation for \(v\).
Big Picture
What this problem is really about
This situation has one charge paid once and another charge repeated for every visit. We’ll model the total as fixed fee plus rate times number of visits, set that expression equal to the stated total, and then undo the fixed fee and the per-visit multiplication to isolate the visit count.
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