Matt charges a one-time meeting fee of $10 and $14 per 30-minute walk. Let

Question

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x represent the number of 30-minute walks.

write the expression that models this scenario. what is the total cost of 6 walks show all steps

Answer 1

To model the scenario where Matt charges a one-time meeting fee and a fee for each 30-minute walk, we can create an expression for the total cost.

1. Identify the components of the total cost:

   • The one-time meeting fee is $10.
   • The cost per 30-minute walk is $14, and the number of walks is represented by \( x \).

2. Write the expression for the total cost (C): \[ C = \text{meeting fee} + \text{cost per walk} \times \text{number of walks} \] Therefore, the total cost can be modeled by the expression: \[ C = 10 + 14x \]

3. Calculate the total cost for 6 walks: Here, \( x = 6 \). Substituting 6 into the expression gives: \[ C = 10 + 14(6) \]

4. Perform the multiplication: \[ 14 \times 6 = 84 \]

5. Add the one-time fee to the result: \[ C = 10 + 84 = 94 \]

Thus, the total cost for 6 walks is $94.