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 )

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 )

GPT-4o mini · Answer

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.