AnswersNC-Math 2Direct and Inverse Variation

Direct and Inverse Variation Answers

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1
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Which equation represents a direct variation?

A
y = 2x
B
y = x + 4
C
y = x
Option C
D
y =
Option D
2
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Question illustration
A
direct variation; k = −2
B
direct variation; k =
Option B
C
inverse variation; k = −2
D
inverse variation; k =
Option D
3

In a function, y varies directly with x, and the constant of variation is 2. Which table could represent this function?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

In a company, it takes 4 employees 4 days to complete a task. It would take 2 employees 8 days to complete the same task.

A
direct variation; d = ke
B
direct variation; de = k
C
inverse variation; d = ke
D
inverse variation; de = k
5

Norman makes $15 commission for selling $200 in merchandise. He makes $37.50 commission for selling $500 in merchandise. Assuming that the variables are directly related and Norman wants to make $150 in commission, what is the total value of merchandise he needs to sell?

A
$335.00
B
$612.50
C
$2,000.00
D
$5,000.00
6

An inverse variation function has a k value of 8. Which ordered pair is on the graph of the function?

A
(0, 8)
B
(16, 2)
C
(3, 24)
D
(4, 2)
7

The amount of resistance, y, in a circuit varies inversely to the current, x, in the circuit. When 10 ohms of resistance are used in the circuit, 12 amperes of current are present. When 5 ohms of resistance are used in the same circuit, 24 amperes of current are present.

A
7.5 ohms
B
8 ohms
C
50 ohms
D
120 ohms
8

In a function, y varies inversely with x. The constant of variation is 4. Which table could represent the function?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

Traveling at an average speed of 50 miles per hour, the trip from point A to point B takes 2 hours. Traveling at an average speed of 40 miles per hour, the same trip takes 2.5 hours.If time, y, varies inversely with speed, x, how long will the trip take traveling at 45 miles per hour? Round your answer to the nearest hundredth, if necessary.

A
2.22
B
2.25
C
4.44
D
4.50
10

When x = 3, y = 16 and when x = 6, y = 8. Which inverse variation equation can be used to model this function?

A
y =
Option A
B
y = 48x
C
y =
Option C
D
y =
Option D

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Direct and Inverse Variation Answers — NC-Math 2