Question
8ceanside Bike Rental Shop charges a 17 dollar fixed fee plus 6 dollars an hour for renting a bike. Mary paid 47 dollars to rent a bike. How many hours did she pay to have the bike checked out?
Ask by Burton Cruz. in the United States
Mar 13,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Mary rented the bike for 5 hours.
Solution
The problem states that the total cost is given by a fixed fee of \( \$17 \) plus an hourly charge of \( \$6 \) per hour. Let \( h \) be the number of hours Mary rented the bike. The cost equation is:
\[
17 + 6h = 47
\]
**Step 1: Isolate the term with \( h \)**
Subtract 17 from both sides:
\[
6h = 47 - 17
\]
\[
6h = 30
\]
**Step 2: Solve for \( h \)**
Divide both sides by 6:
\[
h = \frac{30}{6}
\]
\[
h = 5
\]
Mary checked out the bike for \( 5 \) hours.
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Simplify this solution Mind Expander
To find out how many hours Mary rented the bike, we first need to subtract the fixed fee from the total amount she paid. The fixed fee is $17, so we calculate: $47 (total cost) - $17 (fixed fee) = $30. Next, we need to determine how many hours she rented the bike by dividing the remaining amount by the hourly rate: $30 ÷ $6 per hour = 5 hours. So, Mary rented the bike for 5 hours!
