Linear Relationships

Which situation is best described by the graph shown?

• JJ purchases chips for $0.75 per bag.

• Mark buys a pack of gum for $1.50 each.

• Paula pays $0.50 per ticket at the fair.

• Franco purchases flowers for $3.00 each.

Find the constant of proportionality in the graph.

• 9

• 3

• 4

• 1.5

A tile backsplash is being installed. The installation fee is $150.00. The tile is priced at $2.75 per square foot, f. Which equation best represents the total cost, c, of the backsplash?

• c = 150f + 2.75

• c = 2.75 – 150f

• c = 152.75f

• c = 2.75f + 150

An app developer projects that he will earn $230.00 for every 100 apps downloaded. Which of the following equations can be used to represent the proportional relationship between the number of apps, x, and the total earnings, y.

• y = 100x + 230

• y = 230x + 100

• x = 2.30y

• y = 2.30x

Based on the information in the table, which equation can be used to represent the relationship?

• y = 8x

• y = 5x + 5

• y = 5x + 15

• y = 5x + 40

Which of the following equations best represents the relationship between x and y?

• y = 2x + 4

• y = 2x – 4

• y = 4x + 2

• y = 4x – 2

The table shows the relationship between the number of miles traveled, x, and the gallons of gas used, y.

• y = 35x

• y = 1/35 x

• 35 = 1x

• y = 3.5x

Which of the following equations best represents the relationship between x and y?

• y = 3x

• y = 0.5x + 3

• y = 0.5x – 3

• y = 3x – 0.5

Which of the following does NOT represent the number of months in a year?

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• y = 12x, where x represents the number of years and y represents the number of months

• There are 96 months in 8 years.

Which of the following tables best represents the relationship between x and y in the equation y = 0.5x + 7?

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