Constant Variation and Direct Variation

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 equation of variation?

• y = 123x

• y = 20x

• y = 6.15x

• y = 0.16x

At top speed, a rabbit can cover 7 miles in 12 minutes. What is the constant of variation?

• k = 7

• k = 12

• k = 12/7

• k = 7/12

A dishwasher uses 65 gallons of water to wash 5 loads of dishes. What is the constant of variation?

• k = 13

• k = 65

• k = 5

• k = 1/13

A dishwasher uses 65 gallons of water to wash 5 loads of dishes. What is the equation of variation?

• y = 13x

• y = 65x

• y = 5x

• y = 1/13x

Does this table of values represent a direct variation?

• Yes

• No

Is this the graph of a direct variation?

• Yes

• No

Does this represent a direct variation?

• Yes

• No

y varies directly with x. If y = 12 when x = 2, what is the constant of variation?

• k = 12

• k = 4

• k = 6

• k = 2

y varies directly with x. If y = 20 when x = 4, what is y when x = -2 ?

• -10

• 10

• -5

• 5

y varies directly with x. If y = -4 when x = -1, what is the constant of variation?

• k = 12

• k = 4

• k = 6

• k = 2