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1
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If x varies inversely as y and  when  , what is the value of x when  ? a) | 36 | c) |  | b) |  | d) | 4 |
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2
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If d varies inversely as t, and  when  , what is the value of t when  ? a) | 8 | c) |  | b) | 2 | d) |  |
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3
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If R is inversely proportional to A, and  when
 , what is the value of R when  ?
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4
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If p varies inversely as q, and  when  , what is the value of p when  ?
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5
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The quantities p and q vary inversely. If  when
 , and  when  , then x equals
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6
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In the table below, y varies inversely as xWhat is the value of t? a) | 1 | c) | 3 | b) |  | d) |  |
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7
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In the accompanying table, y varies inversely as xWhat is the value of z? a) |  | c) | 3 | b) | 2 | d) |  |
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8
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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?
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9
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To 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?
a) | 4.5 ft | c) | 3 ft | b) | 3.5 ft | d) | 5 ft |
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10
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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 hour?
a) |  hours | c) | 
hours | b) | 2 hours | d) |  hours |
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11
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According 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?
a) | 16 lb/in2 | c) | 40 lb/in2 | b) | 25 lb/in2 | d) | 50
lb/in2 |
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12
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Carol 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?
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13
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The 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?
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14
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A scholarship committee rewards the school's top math students. The
amount of money each winner receives is inversely proportional to the number of scholarship
recipients. If there are three winners, they each receive $400. If there are eight
winners, how much money will each winner receive?
a) | $1067 | c) | $240 | b) | $400 | d) | $150 |
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15
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The points  ,  , and  lie on the graph
of a function. If y is inversely proportional to the square of x, what is the
value of d? a) | 1 | c) | 3 | b) |  | d) | 27 |
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16
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If R varies inversely as S, when S is doubled, R is
multiplied by
a) |  | c) |  | b) | 2 | d) | 4 |
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17
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Given y varies inversely as x, when y is multiplied by  , then x is multiplied by
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18
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In a given rectangle, the length varies inversely as the width. If the
length is doubled, the width will
a) | be divided by 2 | c) | be multiplied by 2 | b) | remain the same | d) | increase by 2 |
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19
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In the distance formula, rate varies inversely with time. If rate is
doubled, time is
a) | decreased by 2 | c) | halved | b) | increased by 2 | d) | doubled |
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20
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For 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?
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