Question

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

Let's break down the problem step by step.

### A. Write the mathematical expression that models this scenario.

To represent Matt's total charges for his dog walking business, we can define the following:

- Let \( x \) be the number of dog walks.
- The one-time meeting fee is $10.
- The cost per walk is $14.

The total cost \( C \) can be modeled by the expression:

\[
C = 10 + 14x
\]

### B. What is the total cost of 6 walks?

Now, we can substitute \( x = 6 \) into the expression we created:

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

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

\[
14 \times 6 = 84
\]

Next, substitute back into the expression:

\[
C = 10 + 84
\]
\[
C = 94
\]

### Conclusion

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