Quiz about Applications of Direct & Inverse Variation

Question 1

Y varies directly with x, and y is 84 when x is 16. Which equation represents this situation?

Accepted Answer

y=5.25x

Answer

y=1344x

Answer

y=100x

Answer

y=4/21x

Question 2

The width of a rectangle varies inversely with its length.  If the width is 6 when the length is 24, give an equation that shows the relationship.

Accepted Answer

y = 144/x

Answer

y = 4x

Answer

y = 144x

Answer

y = 4/x

Question 3

The Height of a wave in California varies directly with the seconds that pass by.  At 4 seconds, the wave is 6 feet high.  How many seconds will give you a wave that is 10 feet high?

Accepted Answer

6.6

Answer

y = 2/3x

Answer

6

Answer

7

Question 4

The interest received on a savings account varies directly with the amount deposited. Daniel received $55.35 in interest on $1230 he deposited. How much interest would Daniel have received if he had deposited $2000 into his account?

Accepted Answer

90.00

Answer

34.04

Answer

1,285.35

Answer

44,444.44

Question 5

Y varies inversely with x, and y is 0.5 when x is 4. Which equation represents this situation?

Accepted Answer

y=4x

Answer

y=2x

Answer

y=2/x

Answer

y=x/2

Question 6

y varies directly with the square of x.  If y=40 when x=4, find y when x = 7

Accepted Answer

122.5

Answer

17.5

Answer

70

Question 7

a varies inversely as the square of b. If a is 1 when b is 3, find a when b is 5.

Accepted Answer

0.36

Answer

9

Answer

25

Answer

36

Question 8

y varies directly as x, if y=12 when x=5, find y when x=3

Accepted Answer

36/5

Answer

15/12

Answer

12/5

Answer

12/15

Question 9

y varies directly as x, if y=4 when x=3, find x when y=-12

Accepted Answer

-9

Answer

-16

Answer

16

Answer

9

Question 10

y varies inversely as x, if y = -3 when x = -6, find y when x = 14.

Accepted Answer

9/7

Answer

11

Answer

-11

Answer

7/9

Question 11

Which equation represents an inverse variation?

Accepted Answer

y = 40/x

Answer

y = 40x

Answer

y/x = 40

Answer

x = y/40

Question 12

determine the constant of variation given
{(-15,3) (-5,1) (0,0) (10,-2)}

Accepted Answer

-1/5

Answer

10

Answer

2

Answer

-5

Question 13

The image is an example of the graph of a(n)

Accepted Answer

inverse variation

Answer

direct variation

Answer

neither

Answer

both

Question 14

The sales at a baseball game vary directly with the number of people attending.  If sales for a game are $12,000 when 800 people attend, determine attendance if sales are $30,000

Accepted Answer

2000 people

Answer

1200 people

Answer

1500 people

Answer

2400 people

Question 15

The width of a rectangle varies inversely with its length. if the width is 4 when the length is 18, find the width when the length is 8.

Accepted Answer

9

Answer

72

Answer

36

Answer

2

Question 16

The gallons of water used to take a shower varies directly with the number of minutes in the shower. If an 8 minute shower uses 48 gallons of water, find the constant of variation.

Accepted Answer

6

Answer

1/6

Answer

8

Answer

48

Question 17

The table represents

Accepted Answer

inverse variation

Answer

direct variation

Answer

neither

Answer

both

Question 18

Is the given table a direct variation? If so, what is the constant of variation?

Accepted Answer

Yes; 3

Answer

Yes; 1/3

Answer

Yes; 5

Answer

No

Question 19

Which of the given graphs is a direct variation?

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 20

What kind of equation is this?
xy=8

Accepted Answer

Inverse Variation

Answer

Linear Equation

Answer

Direct Variation

Answer

Joint Variation

Question 21

The number of hours to paint a house varies inversely with the number of painters working. A 2400-square foot house can be painted in 27 hours by 6 painters. How many painters would need to work in order to paint the house in 18 hours?

Accepted Answer

9 painters

Answer

8 painters

Answer

10 painters

Answer

11 painters

Question 22

The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If the trip takes 6 hours at 900 km/h, how long would it take at 800 km/h?

Accepted Answer

6.75 hours

Answer

5.33 hours

Answer

12 hours

Answer

10 hours

Question 23

Trina's paycheck earnings varies directly as the number of hours she works. If she works 19 hours and earns $187.15, what should she earn if she worked 40 hours?

Accepted Answer

$394

Answer

$443.25

Answer

$472.80

Answer

$512.20

Question 24

The gas pressure in a chamber varies directly with the temperature in the chamber. If the pressure in the chamber is 150 atmospheres (atm) when the chamber is at 50 degrees, what is the pressure in the chamber when the temperature of the chamber is 75 degrees?

Accepted Answer

225 atm

Answer

175 atm

Answer

200 atm

Answer

275 atm

Applications of Direct & Inverse Variation

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