Linear Relationships

Which graph shows the equation y = -1/2x + 5

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Which table shows the relationship represented by the graph?

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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

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

The table shows the relationship between the number of miles travelled, x, and the gallons of gas used, y. Which of the following equations best represents the relationship?

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

• y = 3x

• y = 0.5x + 3

• y = 0.5x - 3

• y = 3x - 0.5

The graph shows the relationship between the number of times a gear can rotate in a period of time. Which of the following statements is true?

• If the gear rotates 30 times, then it has been rotating for 1.5 minutes (90 seconds).

• The graph satisfies the equation y = 10x.

• If the machine rotates for 10 minutes, then it will make 250 rotations.

• The relationship is non-proportional.

Which situation is best described by the graph shown?

• JJ purchases chips for $0.75 per bag.

• Mark buys packs 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 for the graph.

• 9

• 4

• 3

• 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 = 2.75f + 150

• c = 152.75f