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 Matt's dog walking business, we need to write a linear expression that represents the total cost of his services.

1. **Write the Mathematical Expression**:
Let \( x \) be the number of 30-minute walks. The total cost \( C \) can be represented by the following expression:

\[
C = 10 + 14x
\]

Here, \( 10 \) is the one-time meeting fee, and \( 14x \) is the cost for \( x \) walks.

2. **Calculate the Total Cost for 6 Walks**:
To find the total cost of 6 walks, substitute \( x = 6 \) into the expression:

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

Next, perform the multiplication:

\[
C = 10 + 84
\]

Finally, add the one-time meeting fee:

\[
C = 94
\]

So, the total cost for 6 walks is **$94**.