A roller skating rink charges a skate rental fee and an hourly rate to skate. The total cost to skate relationship is linear. Find and interpret the rate of change. The rate of change is Find and interpret the initial value. Express your answers as decimals. The initial value is

To solve this problem, we need to understand the relationship between the total cost to skate, the skate rental fee, and the hourly rate. 1. **Identify the variables:** - Let \( C \) be the total cost to skate. - Let \( r \) be the skate rental fee (a fixed cost). - Let \( h \) be the hourly rate (a variable cost). - Let \( t \) be the time in hours spent skating. 2. **Formulate the linear relationship:** The total cost can be expressed as: \[ C = r + ht \] This equation represents a linear relationship where: - \( r \) is the initial value (the cost when no time is spent skating). - \( h \) is the rate of change (the additional cost incurred for each hour of skating). 3. **Interpret the rate of change:** The rate of change \( h \) represents the hourly rate charged for skating. It indicates how much the total cost increases for each additional hour spent skating. 4. **Interpret the initial value:** The initial value \( r \) represents the skate rental fee. It is the cost incurred before any skating time is added. To provide specific numerical values for the rate of change and the initial value, we would need the actual figures for the skate rental fee and the hourly rate. If you have those values, please provide them, and I can calculate the rate of change and initial value as decimals.