Quiz about Direct & Inverse Variation

Question 1

Which of the following represents direct variation?

Accepted Answer

y = kx

Answer

y = k/x

Answer

y = x/k

Answer

y = mx + b

Question 2

Which of the following represents inverse variation?

Accepted Answer

y = k/x

Answer

y = kx

Answer

y = x/k

Answer

y = mx + b

Question 3

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 4

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 5

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 6

Points (3,10) and (x, 15) represent a direct variation. Find x.

Accepted Answer

4.5

Answer

50

Answer

5

Answer

3.5

Question 7

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 8

Which equation represents an inverse variation?

Accepted Answer

y = 40/x

Answer

y = 40x

Answer

y/x = 40

Answer

x = y/40

Question 9

Which equation below represents a direct variation?

Accepted Answer

y = -2x

Answer

y = -3x -5

Answer

y = -1

Answer

x + 3y = 15

Question 10

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

Accepted Answer

inverse variation

Answer

direct variation

Answer

neither

Answer

both

Question 11

If y varies inversely as x and y=2 as x = 8, find x when y= -7

Accepted Answer

16/-7

Answer

1/4

Answer

4

Answer

16

Question 12

The table represents

Accepted Answer

inverse variation

Answer

direct variation

Answer

neither

Answer

both

Question 13

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 14

Which of the given graphs is a direct variation?

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 15

What kind of equation is this?
xy=8

Accepted Answer

Inverse Variation

Answer

Linear Equation

Answer

Direct Variation

Answer

Joint Variation

Question 16

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

Accepted Answer

No

Answer

Yes; 1/4

Answer

Yes; 4

Answer

Yes; 2

Question 17

Determine the type of variation:

Accepted Answer

Inverse

Answer

Direct

Answer

Neither

Question 18

What ordered pair does a direct variation always go through when graphed?

Accepted Answer

(0, 0)

Answer

(1, 0)

Answer

(0, 1)

Answer

(1, 1)

Question 19

True or False:
An inverse variation is always a curve and a direct variation is always a line?

Accepted Answer

True

Answer

False

Question 20

What is the constant (k) in this inverse variation?

Accepted Answer

48

Answer

12

Answer

24

Answer

Not enough information given

Question 21

What is the constant (k) in this inverse variation?
y = 400/x

Accepted Answer

400

Answer

x

Answer

y

Answer

Not enough information given

Question 22

Question 22.

Accepted Answer

neither direct nor inverse variation

Answer

direct variation

Answer

inverse variation

Question 23

Question 23.

Accepted Answer

direct variation

Answer

inverse variation

Answer

neither direct nor inverse variation

Question 24

The equation
xy = 25 represents:

Accepted Answer

inverse variation

Answer

direct variation

Answer

joint variation

Answer

none of these

Question 25

Which of the following is NOT a direct variation?

Accepted Answer

2x + 3y = 2

Answer

y = -2x

Answer

y = 1/2x

Answer

3y = 4x

Question 26

The value of y varies directly with x.  Which function represents the relationship between x and y if y = 14 when x = 6.

Accepted Answer

y=7/3x

Answer

y=20x

Answer

y=84x

Answer

y=3/7x

Question 27

What kind of equation is this?
xy=8

Accepted Answer

Inverse Variation

Answer

Linear Equation

Answer

Direct Variation

Answer

Joint Variation

Question 28

Is the given table a direct or inverse variation? What is the constant of variation?

Accepted Answer

Inverse, 12

Answer

Direct, 12

Answer

Direct, 1/12

Answer

Inverse, 1/12

Question 29

Is this a direct variation?  y =2x + 1

Accepted Answer

No

Answer

Yes

Question 30

Is this a direct variation?
y=2x

Accepted Answer

yes

Answer

no

Question 31

Is this a direct variation?

Accepted Answer

no

Answer

yes

Question 32

Is this a direct variation?

Accepted Answer

yes

Answer

no

Question 33

Is this a direct variation?

Accepted Answer

yes

Answer

no

Question 34

Write an equation for this relationship.

Accepted Answer

y=1/4x

Answer

y=4x

Answer

y=1/8x

Answer

y=8x

Question 35

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

Accepted Answer

No

Answer

Yes; 1/4

Answer

Yes; 4

Answer

Yes; 2

Question 36

Is this a direct variation?
y=2x

Accepted Answer

yes

Answer

no

Question 37

Which of the given graphs is a direct variation?

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 38

Which table represents a direct variation?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 39

Which set of ordered pairs represent a direct variation?

Accepted Answer

{(4, 2), (6, 3), (8, 4), (10, 5)}

Answer

{(1,12), (2, 6), (3, 4), (4, 3)}

Answer

{(1, 3), (2, 3), (3, 3), (4, 3)}

Answer

{(1, 9), (2, 7), (3, 5)}

Question 40

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 41

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 42

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 43

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

Direct & Inverse Variation

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