Cell Phone Plan Cost Analysis

The video tutorial explains how to compare two cell phone plans by setting up and solving a system of equations. The first plan charges 10 cents per minute, while the second plan has a $40 monthly fee plus 2 cents per minute. The tutorial demonstrates how to determine the number of minutes needed for the second plan to be more cost-effective by solving the equations and verifying the solution graphically. The key point is that the second plan becomes preferable after 500 minutes of usage.

What is the cost per minute for the first cell phone plan?

• 5 cents

• 10 cents

• 20 cents

• 15 cents

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CCSS.8.F.A.2

CCSS.HSF.IF.C.9

What is the monthly fee for the second cell phone plan?

• $30

• $40

• $50

• $20

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CCSS.8.EE.C.8C

What variable represents the monthly cost in the equations?

• Y

• X

• C

• M

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CCSS.HSF.LE.B.5

How is the cost of the first plan expressed in the equation?

• C = 0.10M

• C = 0.15M

• C = 0.05M

• C = 0.20M

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CCSS.8.EE.B.5

What is the equation for the second plan's cost?

• C = 40 + 0.04M

• C = 40 + 0.03M

• C = 40 + 0.02M

• C = 40 + 0.01M

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CCSS.8.EE.C.8C

At how many minutes do the costs of both plans become equal?

• 550

• 400

• 500

• 450

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CCSS.8.EE.B.5

What is the cost for both plans at 500 minutes?

• $40

• $45

• $55

• $50

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CCSS.8.F.A.2

CCSS.HSF.IF.C.9

After how many minutes does the second plan become cheaper?

• 550

• 500

• 450

• 400

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CCSS.8.EE.C.7B

What is the cost per minute for the second plan after the monthly fee?

• 1 cent

• 2 cents

• 3 cents

• 4 cents

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CCSS.8.EE.C.8B

What is the point of intersection on the graph for both plans?

• (400, 40)

• (550, 55)

• (450, 45)

• (500, 50)

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CCSS.8.EE.C.8B