Name: _______________________
Linear Equations Practice
Period: ____
Jim Nasium is a personal trainer. He charges each client an initial fee of $15 for training. Then
he charges $20 for each hour. Let x represent the number of hours a client is working out and
let y represent the total money Jim collectes from each client.
1) Complete the table of values to show the total cost of each month for Jim Nasium.
x, hours
0
1
2
3
4
y, total cost
2) Represent Jim Nasium’s situation as a graph.
Remember to:
–label your axes
–include a title
–choose and label an appropriate
scale on the x– and y–axis.
3) Represent this situation as an equation in slope–intercept form.
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4) a) What is the slope? _____ What does it represent in this situation?
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b) Explain how you can find the slope using the table from in #1.
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c) Explain how you can find the slope from the graph you made in #2.
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d) Explain how you can find the slope from the equation you wrote in #3.
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5) a) What is the y–intercept? _____ What does it represent in this situation?
___________________________________________________________________________
b) Explain how to find the y–intercept from the table:
___________________________________________________________________________
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c) Explain how you can find the y–intercept from the graph:
___________________________________________________________________________
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d) Explain how you can find the y–intercept from the equation:
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6) Write the equation in standard form. Show your work.
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7) Write the equation in point–slope form using the cost at three hours.
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8) How much would Jim Nasium earn if he had a client for 40 half–hour sessions? Show your work.
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