Create and solve a one-variable linear equation from a short context.
Fixed amount plus repeated amount equals total
Problem
A bike rental costs \(\$12\) plus \(\$8~\text{per}~\text{hour}\) and totals \(\$44\). Write an equation for rental time \(h\) and solve it.
Big Picture
What this problem is really about
This situation has two different kinds of cost: one fixed fee and one charge that repeats for every hour. We’ll write the repeating part as the hourly rate times h, add the fixed fee once, and set the whole expression equal to the total. Undoing those operations in reverse order isolates the rental time.
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