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 30-minute walk.

Question

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


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

Answer 1

To model the scenario mathematically, we can break down the costs involved in Matt's dog walking business.

1. Meeting Fee: This is a one-time cost of $10.
2. Cost per Walk: Matt charges $14 for each 30-minute walk.

Let \( x \) represent the number of walks Matt does. The total cost \( C \) for \( x \) walks can be expressed as:

\[ C = 10 + 14x \]

Total Cost of 6 Walks

To find the total cost of 6 walks, we substitute \( x = 6 \) into the expression:

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

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

\[ 14 \times 6 = 84 \]

Next, we add this to the meeting fee of $10:

\[ C = 10 + 84 = 94 \]

Thus, the total cost for 6 walks is:

\[ \boxed{94} \]