Question & Answer

Paul the plumber charges $25 for a service call. He then charges $100 an hour. Write a linear equation to model this situation.

Paul the plumber charges $25 for a service call. He then charges $100 an hour. Write a linear equation to model this situation.
y = 100x
y = 25x + 100
y = 25x
y = 100x + 25

1 Answer

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Quizzma TeamMay 25, 2025

The correct linear equation to model the situation is:

y = 100x + 25

### Explanation:

y represents the total charge.

x represents the number of hours Paul works.

– The $25 for the service call is a one-time fee (the y-intercept), and $100 per hour is the variable charge (the slope).

So, for any number of hours x, you add the one-time service charge of $25, resulting in the equation (y = 100x + 25).

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