Direct and Inverse Variation

Direct and Inverse Variation

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Multiple Choice

Which of the following represents direct variation?

• y = kx

• y = k/x

• y = x/k

• y = mx + b

Multiple Choice

Which equation below represents a direct variation?

• y = -2x

• y = -3x -5

• y = -1

• x + 3y = 15

Multiple Choice

Which of the following represents inverse variation?

• y = kx

• y = k/x

• y = x/k

• y = mx + b

Multiple Choice

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

• Yes; 1/3
• Yes; 3
• Yes; 5
• No

Multiple Choice

In a direct variation, y = 39 when x = 3. 
Find the value of y when x = 2.

• 26
• 3
• 58.5
• 2

Multiple Choice

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

• 17.5
• 70
• 122.5

Multiple Choice

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

• y = 1344x

• y = 100x

• y = 5.25x

• y = 4/21x

Multiple Choice

The amount of money earned on a job is directly proportional to the number of hours worked.  If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?

• $2
• $308
• $1.57
• $265

Multiple Choice

If y varies inversely as x, and y = 23 when x = 8, find y when x = 4.

• 26

• 46

• 52

• 92

Multiple Choice

Does the table show an inverse variation?

• Yes
• No

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

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