Intro to Direct Variation

If y = 15 when x = 12 find y when x = 32.

• y = (5/4)x; 40

• y= (4/5)x; -40

• y= 4x; 5

• y= 5x; -5

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

Is this proportional?
y=2x

• yes

• no

Which graph shows a proportional relationship between x and y?

• A

• B

• C

• D

Does the following table represent direct variation?

• Yes

• No

Does the following table represent direct variation?

• Yes

• No

The value of y is directly proportional to the value of x.

If y = 132 when x = 11, what is the value of y when x = 17?

• y = 144

• y = 12

• y = 204

• y = 71

The number of pages that Hayden can read varies directly with the time spent reading. If he reads 12 pages in 4 minutes, how many pages can he read in 17 minutes?

• 51 pages

• 47 pages

• 60 pages

• 75 pages

The number of miles Jim runs is directly proportional to the time spent running.

If he runs 6 miles in 46.8 minutes, how long will it take him to run 13.1 miles?

• 92.35 minutes

• 7.8 minutes

• 102.18 minutes

• 150.67 minutes

Which of the given graphs is a direct variation?

• A

• B

• C

• D