Question 1

Which equation represents inverse variation?

Accepted Answer

y = k/x

Answer

y = k + x

Answer

y = k - x

Answer

y = kx

Question 2

Which equation represents direct variation?

Accepted Answer

y = kx

Answer

y = k/x

Answer

y = k - x

Answer

y = k + x

Question 3

If y is inversely proportional to x and y = 20 when x = 3, what is the value of y when x = 6?

Accepted Answer

10

Answer

15

Answer

30

Answer

40

Question 4

If y is inversely proportional to the cube of x, and y = 4 when x = 2, what is the value of y when x = 4?

Accepted Answer

0.5

Answer

2

Answer

1

Answer

8

Question 5

If c is inversely proportional to d and c = 5 when d = 10, what is the value of c when d = 20?

Accepted Answer

2.5

Answer

0.5

Answer

10

Answer

4

Question 6

The weight of an object W is inversely proportional to the square of its distance d from the center of the Earth. If W = 5 when d = 3, what is the value of W when d = 6 ?

Accepted Answer

1.25

Answer

2.5

Answer

10

Answer

20

Question 7

The weight of a bag of apples varies directly with the number of apples in the bag. If a bag containing 5 apples weighs 1.25 pounds, how much does a bag with 8 apples weigh?

Accepted Answer

2 pounds

Answer

2.8 pounds

Answer

2.5 pounds

Answer

1.6 pounds

Question 8

The speed of a car directly varies with the time taken to travel. If the car takes 3 hours to travel at a speed of 90 miles per hour, how long would it take the car to travel at a speed of 60 miles per hour?

Accepted Answer

4.5 hours

Answer

6 hours

Answer

2 hours

Answer

3 hours

Question 9

The cost of a ticket for an amusement park varies directly with the number of rides you choose. If it costs $45 for 5 rides, how much will it cost for 8 rides?

Accepted Answer

$72

Answer

$60

Answer

$90

Answer

$80

Question 10

The size of a square's area varies directly with the square of its side length. If a square with side length 4 units has an area of 16 square units, what is the area of a square with side length 7 units?

Accepted Answer

49 square units

Answer

24 square units

Answer

28 square units

Answer

42 square units

Question 11

The number of pages that can be printed by a printer varies directly with the amount of ink in the printer. If a printer with 3 units of ink can print 150 pages, how many pages can be printed with 5 units of ink?

Accepted Answer

250 pages

Answer

350 pages

Answer

200 pages

Answer

300 pages

Question 12

In a garden, the number of tulips planted varies directly with square meters of the plot. If 20 tulips are planted in a 4 square meter plot, how many tulips should be planted in a 15 square meter plot?

Accepted Answer

75 tulips

Answer

60 tulips

Answer

80 tulips

Answer

100 tulips

Question 13

The number of calories burned during a workout varies directly with the time spent exercising. If 200 calories are burned in 30 minutes, how many calories will be burned in 1 hour?

Accepted Answer

400 calories

Answer

350 calories

Answer

450 calories

Answer

300 calories

Question 14

The pay a worker gets varies directly with the number of hours worked. If a worker earns $120 for 8 hours of work, how much would they earn for 15 hours of work?

Accepted Answer

$225

Answer

$300

Answer

$180

Answer

$240

Question 15

In a grocery store, the cost of apples varies directly with the weight of the apples. If 2 pounds of apples cost $4.50, what would be the cost for 5 pounds of apples?

Accepted Answer

$11.25

Answer

$12.00

Answer

$11.00

Answer

$10.75

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