Slope

A relation contains the points

(1, 2), (2, -1), (3, 0), (4, 1), and (5, -1). Which statement accurately describes this relation?

• The relation does not represent y as a function of x, because each value of x is associated with a single value of y.

• The relation represents y as a function of x, because one value of y is associated with two values of x.

• The relation does not represent y as a function of x, because each value of y is associated with two values of x.

• The relation represents y as a function of x, because each value of x is associated with a single value of y.

Which function is best represented by this graph?

• y = ¼ x + 8

• y = ¼ x – 2

• y = 4x -2

• y = 4x + 8

A hot-air balloon is released at ground level, and it rises into the air at a constant rate. After 5 seconds the height of the balloon is 20 feet. The balloon continues to rise at the same rate.

Which table shows the relationship between the time in seconds, x, and the height of the balloon in feet, y?

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Rudolfo has 15 toys in his toy box, and he adds 2 new toys every month. Based on this information, which representation best shows this relationship between the number of toys Rudolfo has in his toy box, y, and the number of months that have passed, x?

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A gym charges a membership fee plus an additional fee per yoga class. The table shows the linear relationship between the number of yoga classes taken and the total cost including the membership fee. Which statement is true?

• The additional fee per yoga class is $3.75

• The additional fee per yoga class is $8.25

• The membership fee is $35.00.

• The membership fee is $42.50.

Joseph ran a 6-mile race in 48 minutes. Which graph has a slope that best represents Joseph’s average rate of speed during the race?

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The ticket sales for a concert started at 4:00 P.M. The table shows the linear relationship between the number of tickets remaining and the number of hours since 4:00 P.M.

Which function can be used to find y, the number of tickets remaining x hours since 4:00 P.M.?

• y= 3,000x + 12,000

• y= 3,000x + 15,000

• y= −3,000x + 12,000

• y= −3,000x + 15,000

Which situation could NOT represent a proportional relationship?

• The number of gallons of water in x barrels with 42 gallons of water in each barrel

• The amount an employee who makes $8.50 per hour earns in h hours

• The weight in x weeks of a puppy that gains 2 pounds per week if its starting weight is 8 pounds

• The cost of purchasing p pounds of bananas for $0.55 per pound

The amount of water an electric dishwasher uses to wash dishes varies directly with the number of loads of dishes. The dishwasher uses 32 gallons of water to wash 4 loads of dishes.

How many gallons of water will the dishwasher use to wash 10 loads of dishes?

• 38 gallons

• 46 gallons

• 72 gallons

• 80 gallons

Which representation shows y as a function of x?

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