To create an equation that represents the total amount Caleb charges his clients, we need to define the components of the cost structure.
Let:
- \( C \) be the consultation fee (a fixed amount).
- \( r \) be the hourly rate Caleb charges for personal training.
- \( x \) be the number of hours of personal training.
- \( y \) be the total amount charged to the clients.
The equation can be written as:
\[ y = C + r \cdot x \]
In this equation, \( y \) represents the total amount charged, \( C \) is the fixed consultation fee, \( r \) is the hourly rate for training, and \( x \) is the number of hours of training. Simply multiply the hourly rate by the number of hours and add the consultation fee to get the total charge.
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