variation

Multiple Choice

Suppose y varies directly as x. If x = 27 when y = 6, find x when y = 2.

• 0.44

• 81

• 23

• 9

Multiple Choice

The number of apples sold varies directly as the cost. If 4 apples cost $0.45, find the cost of 12 apples.

• $1.35

• $106.67

• $0.45

• $0.15

Multiple Choice

Suppose y varies directly as x. If y = 30 when x = 8, find y when x = 4.

• 1.07

• 15

• 26

• 60

Multiple Choice

What type of relationship is a direct variation.

• proportional

• non-proportional

Multiple Choice

What does "k" stand for in the direct variation equation?

• constant of equality

• constant of proportionality

• constant of non-proportionality

Multiple Choice

What is the equation to find "k", the constant of proportionality?

• k = $$\frac{y}{x}$$  

• y = kx

• y = mx + b

• k = $$\frac{x}{y}$$  

Multiple Choice

Is the relationship in the table a direct variation?

• Yes

• No

Multiple Choice

Is the relationship in the table a direct variation?

• Yes

• No

Multiple Choice

Determine if there is a constant of proportionality, k.

If there is a k, what is it?

• There is no k

• k = $$\frac{1}{8}$$  

• k = 8

Multiple Choice

Does the graph show a direct variation?

• Yes

• No

Multiple Choice

Does the given graph show a direct variation?

• Yes

• No

Multiple Choice

Does this equation show direct variation?

y = 14x

• Yes

• No

Multiple Choice

Does this equation show direct variation?

y + 3 = 14x

• Yes

• No

Multiple Choice

Does the following equation represent direct variation

$$3y=x$$  

If so, what is the constant of variation?

• Yes,

  3

• No

• Yes,

  1/3

Multiple Choice

Does the following equation represent direct variation?

$$x+2y=0$$  

If yes, what is the constant of variation?

• Yes, 2

• Yes, 1/2

• No

Multiple Choice

Does this table show direct variation?

• Yes

• No

Fill in the Blanks

What is the constant of proportionality?

(the k value)

Multiple Choice

• direct variation

• inverse variation

• neither direct nor inverse variation

Multiple Choice

The equation 
xy =  25  represents:

• direct variation

• inverse variation

• joint variation

• none of these

Multiple Choice

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

• Direct, 12

• Inverse, 12

• Direct, 1/12

• Inverse, 1/12

Multiple Choice

Write an equation for this relationship.

• y=4x

• y=1/8x

• y=1/4x

• y=8x

Multiple Choice

Given that y varies inversely with x, if x =7 and y = 4, what is y when x = 2?

• 14

• 10

• 2

• -14

Multiple Choice

6.The time it takes to travel a fixed distance varies inversely with the speed traveled. If it takes Pancho 52 minutes to bike to his fishing spot at 9.5 miles per hour, how long will it take him if he rides at 11 miles per hour?

• Direct Variation

• Inverse Variation

Multiple Choice

7.On a scale drawing, 2 feet represents 30 yards. How many yards are represented by 3 feet?

• Direct Variation

• Inverse Variation

Multiple Choice

9.The number of hours required to do a job varies inversely as the number of people working. It takes 8 hours for 4 people to paint the inside of a house. How long would it take 5 people to do the job?

• Direct Variation

• Inverse Variation

Multiple Choice

8.On a map, 180 miles are represented by 4 inches. How many miles are represented by 6 inches?

• Direct Variation

• Inverse Variation

Multiple Choice

If 32 men can reap a field in 15 days, in how many days can 20 men reap the same field?

• 18 days

• 20 days

• 22 days

• 24 days

Multiple Choice

Which of the following represents indirect variation?

• y = kx

• y = k/x

• y = x/k

• y = mx + b

Multiple Choice

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

• 12

• 24

• 48

• Not enough information given

Multiple Choice

What relationship does the table represent?

• Direct

• Inverse

• Neither

Multiple Choice

If x varies inversely as the square root of y, and x = 9 when y = 121, find x when y = 81.

• 7

• 11

• 13

• 17