Identifying Direct and Inverse Variation

• direct variation
• inverse variation
• neither direct nor inverse variation

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

• 26

• 3

• 58.5

• 2

A person’s weekly pay is directly proportional to the number of hours worked. Shawn’s pay is $123.00 for 20 hours of work. What is the constant of variation?

• k = 123

• k = 20

• k = 6.15

• k = 0.16

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

• Yes. k = 1/3

• Yes. k = 3

• Yes. k = 5

• No

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

• Direct. k = 12

• Inverse. k = 12

• Direct. k = 1/12

• Inverse. k = 1/12

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

Which of the given graphs is a direct variation?

• A

• B

• C

• D

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 (x) by 6 painters (y). How many painters would need to work in order to paint the house in 18 hours?

• 8 painters

• 10 painters

• 9 painters

• 11 painters

Trina's paycheck earnings varies directly as the number of hours she works. If she works 19 hours (x) and earns $187.15 (y), what should she earn if she worked 40 hours?

• $394

• $443.25

• $472.80

• $512.20

y varies directly as x. If y = 15 when x = 12 find y when x = 32.

• 40

• -40

• 5

• -5