Question

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.



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:

\[
\boxed{94}
\]