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Algebra 1

1.15.5 Practice

Algebra 11.15.5 Practice

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Complete the following questions to practice the skills you have learned in this lesson.

1. If y varies directly as x and y = 14 , when x = 3 . Find the equation that relates x and y .
2. The price, P , that Eric pays for gas varies directly with the number of gallons, g , he buys. It costs him $50 to buy 20 gallons of gas. Choose the equation that relates P and g .
  1. P = g 2.5
  2. P = 2.5 g
  3. G = 2.5 p
  4. P = 2.5 g
  5. P = 2.5 g
3. Joseph is traveling on a road trip. The distance, d , he travels before stopping for lunch varies directly with the speed, v , he travels. He can travel 120 miles at a speed of 60 mph. How many miles would he travel before stopping for lunch at a rate of 65 mph?
4. The mass of a liquid, M , varies directly with its volume, V . A liquid with mass 16 kilograms has a volume of 2 liters. What is the volume, in liters, of this liquid if its mass is 128 kilograms?
5. The length, L , that a spring stretches varies directly with a weight, W , placed at the end of the spring. When Sarah placed a 10-pound watermelon on a hanging scale, the spring stretched 5 inches. What weight of watermelon, in pounds, would stretch the spring 6 inches?
6. The maximum load a beam, M , will support varies directly with the square of the diagonal of the beam’s cross-section, d 2 . A beam with diagonal 6 inch will support a maximum load of 108 pounds. What load, in pounds, will a beam with a 10-inch diagonal support?
7. The number of calories, c , burned varies directly with the amount of time, t , spent exercising. Arnold burned 312 calories in 65 minutes exercising. How many calories would he burn if he exercises for 90 minutes?
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