Solve two-step equations and justify each inverse operation.
Match a context to the right two-step equation
Problem
A bike rental costs \(\$8~\text{once}\) plus \(\$5~\text{per}~\text{hour}\) for a \(\$33\) total. Verify the candidate equation structures, then solve the valid equation. Report its letter followed by the rental time.
A. \(5h~+~8~=~33\) B. \(5(h~+~8)~=~33\) C. \(33h~+~8~=~5\)
Big Picture
What this problem is really about
Match each story quantity to its role before solving: five dollars repeats per hour, eight dollars is charged once, and thirty-three dollars is the total. A valid model keeps the fixed fee outside the hourly multiplication. Remove that fee first, then divide by the rate to recover time in hours.
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