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?

Answer 1

To model the scenario, we can define a variable to represent the number of 30-minute walks. Let \( x \) be the number of walks Matt provides. The total cost \( C \) can then be represented by the following expression:

\[ C = 10 + 14x \]

Here, \( 10 \) is the one-time meeting fee, and \( 14x \) represents the cost for \( x \) number of 30-minute walks at \$14 per walk.

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

\[
C = 10 + 14(6)
\]
\[
C = 10 + 84
\]
\[
C = 94
\]

So, the total cost of 6 walks is \$94.