Formulating Equations from Word Problems

Mr. S presents the final question in a unit 3 review, focusing on calculating costs associated with Jack's iPhone usage. The problem provides two data points, which are used to determine the slope and Y-intercept of a linear equation. The video explains how to calculate the monthly fee and initial cost, and applies the equation to find the total cost after 18 months. The tutorial concludes with a prompt to subscribe for more educational content.

How much did Jack pay for his iPhone after 10 months?

• $1050

• $950

• $850

• $750

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CCSS.HSF.BF.A.2

What is the total amount Jack paid after 12 months?

• $950

• $1000

• $900

• $980

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CCSS.HSF.BF.A.2

What are the two coordinate pairs given in the problem?

• (10, 800) and (12, 950)

• (10, 850) and (12, 980)

• (10, 950) and (12, 1050)

• (10, 750) and (12, 900)

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

How do you calculate the slope from the given coordinate pairs?

• Subtract the x-values from the y-values

• Multiply the x-values by the y-values

• Divide the difference in y-values by the difference in x-values

• Add the x-values to the y-values

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CCSS.8.EE.B.5

What is the slope of the line representing Jack's payments?

• $65 per month

• $50 per month

• $55 per month

• $60 per month

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CCSS.8.EE.B.5

Which form of the equation is used to find the Y-intercept?

• Slope-intercept form

• Quadratic form

• Point-slope form

• Standard form

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CCSS.8.EE.B.6

CCSS.8.F.A.3

What is the Y-intercept in the equation of Jack's payments?

• $100

• $150

• $200

• $250

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CCSS.HSF-IF.C.7A

What does the Y-intercept represent in this context?

• The total cost after 10 months

• The total cost after 12 months

• The initial cost of the phone

• The monthly fee

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CCSS.HSF.LE.B.5

What is the final equation representing Jack's payments?

• y = 55x + 175

• y = 50x + 150

• y = 60x + 180

• y = 65x + 200

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CCSS.6.EE.C.9

How much will Jack have paid for his phone after 18 months?

• $1,170

• $1,370

• $1,470

• $1,270

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CCSS.HSF.BF.A.2