To model the scenario with a mathematical expression, we can define the total cost \( C \) as a function of the number of walks \( w \).
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Mathematical Expression: The total cost consists of a one-time meeting fee of $10 and a fee of $14 for each 30-minute walk. Therefore, the expression can be written as:
\[ C(w) = 10 + 14w \]
where \( C(w) \) is the total cost and \( w \) is the number of walks.
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Total Cost of 6 Walks: To find the total cost for 6 walks, we substitute \( w = 6 \) into our expression:
\[ C(6) = 10 + 14 \times 6 \]
Now calculate \( 14 \times 6 \):
\[ 14 \times 6 = 84 \]
Now plug this back into the expression:
\[ C(6) = 10 + 84 \]
Adding these together gives:
\[ C(6) = 94 \]
Therefore, the total cost of 6 walks is $94.
Summary of Points:
- Mathematical Expression: \( C(w) = 10 + 14w \) (2 points)
- Total Cost of 6 Walks: $94 (3 points)