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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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
3

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)
4

A 20-ounce candle is expected to burn for 60 hours. A 12-ounce candle is expected to burn for 36 hours. Assuming the variables are directly related, how many hours would a 9-ounce candle be expected to burn?

A
18
B
27
C
33
D
45
5

Which graph represents a direct variation?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

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
8

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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
9

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
10

Four pounds of apples cost $5. Eight pounds of apples cost $10. If the total cost of apples, y, varies directly with the number of pounds of apples purchased, x, what is the cost of 6 pounds of apples? Round your answer to the nearest hundredth.

A
$0.80
B
$1.25
C
$4.80
D
$7.50
11

Which equation represents an inverse variation?

A
y = 2x
B
y =
Option B
C
y =
Option C
D
y = –5x
12

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
13

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

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