- At Kelli's skateboard shop, customers pay an upfront fee of \( \$ 12 \) and then pay \( \$ 3 \) per hour for each hour they use the skateboard. Write a rental equation for the cost of renting a skateboard at Kelli's shop \[\nc=12+3 h \quad c=12+3(5)=12+36=48 \text{ }\$ \]

To write the rental equation for the cost of renting a skateboard at Kelli's shop, we can break it down as follows: 1. **Identify the components of the cost:** - There is a fixed upfront fee of \( \$ 12 \). - There is a variable cost of \( \$ 3 \) for each hour of skateboard rental. 2. **Define the variables:** - Let \( c \) represent the total cost of renting the skateboard. - Let \( h \) represent the number of hours the skateboard is rented. 3. **Formulate the equation:** The total cost \( c \) can be expressed as: \[ c = 12 + 3h \] 4. **Example calculation:** If a customer rents the skateboard for \( 5 \) hours, we can substitute \( h = 5 \) into the equation: \[ c = 12 + 3(5) \] Now, calculate the cost: \[ c = 12 + 15 = 27 \] Therefore, the total cost for renting the skateboard for \( 5 \) hours is \( \$ 27 \). So, the rental equation is \( c = 12 + 3h \), and for \( 5 \) hours, the cost is \( \$ 27 \).