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A2.A.5: Inverse Variation: Use direct and inverse variation to solve for unknown values

1If x varies inversely as y and when , what is the value of x when ? 1)36
2)
3)
4)4

2If R is inversely proportional to A, and when , what is the value of R when ? 1)0.625
2)1.6
3)10
4)6,250

3In the table below, y varies inversely as x

What is the value of t?
1)1
2)
3)3
4)

4In the accompanying table, y varies inversely as x

What is the value of z?
1)
2)2
3)3
4)

5Tracy, a political campaign organizer, realizes that the number of hours needed to get out a mailing for her candidate is inversely proportional to the number of campaign workers she has. If she uses the information in the accompanying graph, how many hours would it take to do the mailing if 125 workers are used?

1)12
2)16
3)20
4)24

6To balance a seesaw, the distance, in feet, a person is from the fulcrum is inversely proportional to the person’s weight, in pounds. Bill, who weighs 150 pounds, is sitting 4 feet away from the fulcrum. If Dan weighs 120 pounds, how far from the fulcrum should he sit to balance the seesaw? 1)4.5 ft

2)3.5 ft
3)3 ft
4)5 ft

7The speed of a laundry truck varies inversely with the time it takes to reach its destination. If the truck takes 3 hours to reach its destination traveling at a constant speed of 50 miles per hour, how long will it take to reach the same location when it travels at a constant speed of 60 miles per hour? 1) hours

2)2 hours
3) hours
4) hours

8According to Boyle's Law, the pressure, p, of a compressed gas is inversely proportional to the volume, v. If a pressure of 20 pounds per square inch exists when the volume of the gas is 500 cubic inches, what is the pressure when the gas is compressed to 400 cubic inches? 1)16 lb/in2

2)25 lb/in2
3)40 lb/in2
4)50 lb/in2

9Carol notices that the number of customers who visit her coffee shop varies inversely with the average daily temperature. Yesterday, the average temperature was 40° and she had 160 customers. If today’s average temperature is 25°, how many customers should she expect? 1)100

2)145
3)256
4)1,000

10The manager of Stuart Siding Company found that the number of workers used to side a house varies inversely with the number of hours needed to finish the job. If four workers can side the house in 48 hours, how many hours will it take six workers working at the same speed to do the same job? 1)32

2)36
3)42
4)72

11If R varies inversely as S, when S is doubled, R is multiplied by 1)
2)2
3)
4)4

12In a given rectangle, the length varies inversely as the width. If the length is doubled, the width will 1)be divided by 2
2)remain the same
3)be multiplied by 2
4)increase by 2

13In the distance formula, rate varies inversely with time. If rate is doubled, time is 1)decreased by 2
2)increased by 2
3)halved
4)doubled

14For a rectangular garden with a fixed area, the length of the garden varies inversely with the width. Which equation represents this situation for an area of 36 square units? 1)
2)
3)
4)

1ANS:4PTS:2REF:010035siii

2ANS:2PTS:2REF:011017b

3ANS:2PTS:2REF:069432siii

4ANS:2PTS:2REF:089716siii

5ANS:2PTS:2REF:061005b

6ANS:4PTS:2REF:080207b

7ANS:3PTS:2REF:080402b

8ANS:2PTS:2REF:060618b

9ANS:3PTS:2REF:010913b

10ANS:1PTS:2REF:060918b

11ANS:1PTS:2REF:010503b

12ANS:1PTS:2REF:060508b

13ANS:3PTS:2REF:060216siii

14ANS:3PTS:2REF:010310b
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