Inverse Variation: Solving For Unknown Values

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

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

2 If 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

3 In the table below, y varies inversely as x

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

4 In the accompanying table, y varies inversely as x

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

5 Tracy, 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?
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

7 The 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