8th grade Ch 3 L3

A color printer can print 36 pages in 3 minutes and 108 pages in 9 minutes. If the number of pages varies directly with the time, at what rate is the color printer printing?

• 12 pages per minute

• 9 pages per minute

• 15 pages per minute

• 18 pages per minute

A new compact car can travel 288 miles on nine gallons of gas. The distance driven in miles y varies directly with the number of gallons of gas x. This situation can be represented by the equation y = 32x. Which of the following equations represents this situation?

• y = 32x

• y = 9x

• y = 288x

• y = 36x

A new compact car can travel 288 miles on nine gallons of gas. The distance driven in miles y varies directly with the number of gallons of gas x. This situation can be represented by the equation y = 32x. b. How many miles per gallon does the car get?

• 32 miles per gallon

• 28 miles per gallon

• 36 miles per gallon

• 24 miles per gallon

A new compact car can travel 288 miles on nine gallons of gas. The distance driven in miles y varies directly with the number of gallons of gas x. This situation can be represented by the equation y = 32x. c. The distance y traveled by a hybrid car using x gallons of gas can be represented by y = 42x. Which car gets better gas mileage? Explain.

• The hybrid car gets better gas mileage because it travels 42 miles per gallon, compared to 32 miles per gallon for the compact car.

• The compact car gets better gas mileage because it travels 32 miles per gallon, compared to 42 miles per gallon for the hybrid car.

• Both cars get the same gas mileage because they both travel the same distance per gallon.

• Neither car gets good gas mileage because both travel less than 50 miles per gallon.

Annie's current earnings are shown in the table. She was offered a new job that will pay $7.25 per hour. Assume that her earnings vary directly with the number of hours worked. Which job pays more an hour?

• Annie's current job pays $6.50 per hour, so the new job pays more per hour.

• Annie's current job pays $7.50 per hour, so her current job pays more per hour.

• Both jobs pay the same amount per hour.

• Annie's current job pays $8.00 per hour, so her current job pays more per hour.

The height of a wide-screen television screen varies directly with its width. A television screen that is 60 centimeters wide and 33.75 centimeters high. Write and solve a direct variation equation to find the height of a television screen that is 90 centimeters wide.

• The equation is h = 0.5625w. For a width of 90 cm, the height is 50.625 cm.

• The equation is h = 1.5w. For a width of 90 cm, the height is 135 cm.

• The equation is h = 0.75w. For a width of 90 cm, the height is 67.5 cm.

• The equation is h = 0.45w. For a width of 90 cm, the height is 40.5 cm.

What is the relationship among the unit rate, slope, and constant rate of change of a proportional linear relationship?

• In a proportional linear relationship, the unit rate, slope, and constant rate of change are all the same value.

• The unit rate and slope are different, but both are unrelated to the constant rate of change.

• The slope is always greater than the unit rate in a proportional linear relationship.

• The constant rate of change is always zero in a proportional linear relationship.

Dusty’s earnings vary directly with the number of papers he delivers. The relationship is shown in the graph below. Determine the amount that Dusty earns for each paper he delivers.

• $0.50 per paper

• $0.25 per paper

• $1.00 per paper

• $2.00 per paper

How many miles does the car get per gallon of gas?

• 35 miles per gallon

• 20 miles per gallon

• 50 miles per gallon

• 10 miles per gallon

Tom was comparing computer repair companies. The cost y for Computer Access for x hours is shown in the graph. The cost for Computers R Us can be represented by the equation y = 23.5x. Which company’s repair price is lower?

• Computer Access

• Computers R Us

• Both have the same price

• Cannot be determined