Question
Robert also owns a rental shop at the beach. To rent a surfboard, customers must pay \( \$ 7.50 \) per hour for each hour that they use the surfboard. Write a rental equation for the cost of renting a surfboard at Robert's shop.
Ask by Smith Hodges. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The rental cost \( C \) for renting a surfboard is calculated by multiplying the number of hours \( h \) by \$7.50. So, the equation is:
\[
C = 7.50 \times h
\]
Solution
Let:
- \( C \) represent the total cost in dollars.
- \( h \) represent the number of hours the surfboard is rented.
The rental equation is:
\[
C = 7.50 \times h
\]
**Explanation:**
- For each hour \( h \) that a customer rents a surfboard, they pay \$7.50.
- Therefore, the total cost \( C \) is calculated by multiplying the hourly rate by the number of hours rented.
**Example:**
If a customer rents a surfboard for 3 hours, the cost would be:
\[
C = 7.50 \times 3 = \$22.50
\]
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Simplify this solution The Deep Dive
To express the cost of renting a surfboard mathematically, you can create a rental equation where \( C \) represents the total cost and \( h \) represents the number of hours the surfboard is rented. The equation would be: \[ C = 7.50h \] This equation shows that the total cost \( C \) is equal to \( \$7.50 \) multiplied by the number of hours \( h \) the surfboard is rented. Now, if a customer rents the surfboard for, say, 3 hours, simply plug that into the equation: \[ C = 7.50(3) = \$22.50 \] Isn’t math a breezy ride?
