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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




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1 Answer

  1. 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).

    If you have more questions or need further assistance, don’t hesitate to ask!

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