- David owns a skateboard shop. To rent a skateboard, customers must pay an upfront fee of $3. They then pay \( \$ 6 \) per hour for each hour they use the skateboard. Write a rental equation to determine the cost (C) of renting a skateboard for a given number of hours (h) \[\nc=3+6 h \quad c=3+6(5)=3+30=33 \]

Certainly! Let's break down the rental cost equation for David's skateboard shop. ### Rental Cost Components 1. **Upfront Fee:** $3 (This is a fixed cost that customers must pay regardless of how long they rent the skateboard.) 2. **Hourly Rate:** $6 per hour (This is the variable cost based on the number of hours the skateboard is rented.) ### Rental Cost Equation To determine the total cost \( C \) of renting a skateboard for \( h \) hours, you can use the following linear equation: \[ C = 3 + 6h \] - **\( C \)** represents the total cost in dollars. - **\( h \)** represents the number of hours the skateboard is rented. - **3** is the fixed upfront fee. - **6h** represents the variable cost based on the number of hours. ### Example Calculation Let's calculate the cost of renting a skateboard for **5 hours**. \[ \begin{align*} C &= 3 + 6h \\ C &= 3 + 6(5) \\ C &= 3 + 30 \\ C &= 33 \end{align*} \] **Therefore, renting a skateboard for 5 hours costs \$33.** ### Summary - **Rental Equation:** \( C = 3 + 6h \) - **Cost for 5 Hours:** \$33 Feel free to use this equation to calculate the rental cost for any number of hours!