Equations of Proportional Relationships

Find the constant of proportionality for the graph.

• 9

• 4

• 3

• 1.5

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

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

What is the constant of proportionality?

• $3

• $4

• $2

• $9

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

Which situation best represents the equation below? y = 2.5x

• Each year, the Five Oceans' sea levels each increase by 2.5 feet.

• Two cartons of eggs ring up at the register for $2.50.

• A bank account is opened with a balance of $5, and $2.50 is deposited each day.

• Michelle walks to the store at a pace of 2.5 miles per hour.

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 of the following tables best represents the relationship between x and y in the below equation?

y = 0.5x + 7

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