Proportional Relationships Review

1. Which situation is best described by the graph shown?

• A. JJ purchases chips for $0.75 per bag.
• B. Mark buys packs of gum for $1.50 each.
• C. Paula pays $0.50 per ticket at the fair.
• D. Franco purchases flowers for $3.00 each.

2. Find the constant of proportionality in the graph below.

• A. 9
• B. 4
• C. 3
• D. 1.5

3. 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?

• A. c = 150f + 2.75
• B. c = 2.75 – 150f
• C. c = 2.75f + 150
• D. c = 152.75f

5. 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?

• A. y = 100x + 230
• B. y = 230x + 100
• C. x = 2.30y
• D. y = 2.30x

6. The table shows the relationship between x-values and y-values. Which of the following statements is true?

• A. The constant of proportionality is 5.
• B. The y-intercept is 20.
• C. This is an example of a non-proportional relationship.
• D. The rate of change is 7.5.

7. The graph below shows the relationship between the amount of money in Sarah’s savings account over a period of time. Which of the following statements is NOT true about the relationship?

• A. After 5 weeks, Sarah has $100 in her account.
• B. If Sarah has a balance of $60, then 7 weeks have passed.
• C. The relationship is proportional.
• D. The situation can be represented by the equation y = 200 – 20x.

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

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11. Which situation best represents the equation y=2.5x ?

• A. Each day, 2.5 inches of water evaporates from the experiment.
• B. Two cartons of eggs ring up at the register for $2.50.
• C. A bank account is opened with a balance of $5, and $2.50 is deposited each day.
• D. John is 2.5 times as big as his brother Sam.

12. Which of the following situations represents a proportional relationship?

• A. A cheeseburger is $7.95 plus $1.00 for each additional topping.
• B. A pool fills at a rate of 90 gallons per hour.
• C. A health club charges a $40.00 membership fee plus $25.00 per month.
• D. A bank account begins with $350.00 and gains $30.00 per month.

13. The following 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?

• A. If the gear rotates 30 times, then it has been rotating for 1.5 minutes.
• B. The graph satisfies the equation y = 10x.
• C. If the machine rotates for 15 minutes, then it will make 350 rotations.
• D. The relationship is non-proportional.