To create a mathematical expression for Matt's dog walking business, we need to account for both the one-time fee and the variable cost for each walk.
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Identify the fixed and variable costs:
- One-time meeting fee: $10
- Charge per walk: $14
- Let \( x \) represent the number of walks.
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Write the expression: The total cost \( C \) can be expressed as: \[ C = 10 + 14x \] where \( 10 \) is the meeting fee and \( 14x \) is the total charge for \( x \) walks.
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Calculate the total cost for 6 walks: Substitute \( x = 6 \) into the expression: \[ C = 10 + 14 \cdot 6 \] Calculate \( 14 \cdot 6 \): \[ 14 \cdot 6 = 84 \] Now substitute back into the expression: \[ C = 10 + 84 \] Add the two amounts together: \[ C = 94 \]
So, the total cost for 6 walks is $94.