Linear Relationships - Review

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

• A. y = 2x + 4
• B. y = 2x – 4
• C. y = 4x + 2
• D. y = 4x – 2

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

• A. y = 8x
• B. y = 5x + 5
• C. y = 5x + 15
• D. y = 5x + 40

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

• A. y = 3x
• B. y = 0.5x + 3
• C. y = 0.5x – 3
• D. y = 3x – 0.5

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 gear rotations and the number of minutes that have passed. 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.

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

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15. Write an equation to represent y, Calvin’s total earnings based on x number of hours worked.

(a)