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.

Question

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.