To solve the problem, we first need to identify the components of the cost structure for Matt's dog walking business.
Step 1: Write the Mathematical Expression
Matt charges a one-time meeting fee of $10 and an additional $14 for each 30-minute walk. Let's denote the number of walks as \( x \).
The total cost \( C \) of Matt’s service can be expressed mathematically as follows:
\[ C = 10 + 14x \]
Where:
- \( 10 \) is the one-time meeting fee.
- \( 14x \) is the cost for \( x \) walks at a rate of $14 per walk.
Step 2: Calculate the Total Cost for 6 Walks
Now, we need to find the total cost when \( x = 6 \).
Using the expression we derived:
\[ C = 10 + 14(6) \]
Calculating the cost for the walks:
\[ C = 10 + 84 \]
Adding these amounts together gives us:
\[ C = 94 \]
Final Answer
The total cost of 6 walks is \( \mathbf{94} \) dollars.
Summary of Work
- The mathematical expression for the total cost is \( C = 10 + 14x \).
- For 6 walks, we substitute \( x = 6 \):
- \( C = 10 + 14(6) = 10 + 84 = 94 \).
- Thus, the total cost for 6 walks is \( \mathbf{94} \) dollars.