Question

A. The mathematical expression that models the total cost \( C \) of Matt's dog walking business can be written as:
\[
C = 10 + 14w
\]

where \( w \) represents the number of walks.

B. To find the total cost for 6 walks, we will substitute \( w = 6 \) into the expression.

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

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

\[
14 \times 6 = 84
\]

Now add the one-time meeting fee:

\[
C = 10 + 84 = 94
\]

Thus, the total cost for 6 walks is:

\[
C = 94
\]

In summary:
- **A:** The expression is \( C = 10 + 14w \)
- **B:** The total cost for 6 walks is $94.

Answer 1

Your calculations and summary are accurate. Let's break it down again for clarity:

A. The mathematical expression that models the total cost \( C \) of Matt's dog walking business is given by:

\[
C = 10 + 14w
\]

Here, \( w \) represents the number of dog walks, where 10 is the one-time meeting fee and 14 is the cost per walk.

B. To find the total cost for 6 walks, we substitute \( w = 6 \) into the expression:

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

Now, calculating \( 14(6) \):

\[
14 \times 6 = 84
\]

Now, we add the one-time meeting fee:

\[
C = 10 + 84 = 94
\]

Thus, the total cost for 6 walks is:

\[
C = 94
\]

In summary:
- **A:** The expression is \( C = 10 + 14w \)
- **B:** The total cost for 6 walks is $94.

Great job! Everything looks correct!