Here is an example of a linear expression word problem: Matt is starting a dog walking business. He charges a one-time meeting fee of $10 and $14 per walk.

Question

A. Write the mathematical expression that models this scenario (2 points)


B. What is the total cost of 6 walks? Show all work to receive credit. (3 points)

(5 points)

Answer 1

A. The mathematical expression that models the total cost \( C \) of Matt's dog walking business can be written as:

\[ C = 10 + 14w \]

where \( w \) represents the number of walks.

B. To find the total cost for 6 walks, we will substitute \( w = 6 \) into the expression.

\[ C = 10 + 14(6) \]

Now, calculate \( 14(6) \):

\[ 14 \times 6 = 84 \]

Now add the one-time meeting fee:

\[ C = 10 + 84 = 94 \]

Thus, the total cost for 6 walks is:

\[ C = 94 \]

In summary:

• A: The expression is \( C = 10 + 14w \)
• B: The total cost for 6 walks is $94.