Proportion Equations and Direct Variation

Sheryl walks at a steady pace. Which equation represents her total time spent walking depending on the number of miles she walks at that pace?

• y = x + 13

• k = 65/5

• y = 13x

Casey made $171.50 for 14 hours of work last week. This week she earned $98. How many hours did she work this week if she was paid the same rate both weeks?

• 12.25 hours

• 8 hours

• 7 hours

• 1.75 hours

If y is directly proportional to x and y=6 when x=2, find the value of y when x=11.

The number of kilograms of water in a person’s body varies directly as the person’s mass.  A person with a mass of 90 kg contains 60 kg of water.  How many kilograms of water are in a person whose mass is 75 kg?

• 50 kg water

• 72 kg water

• 94 kg water

• 150 kg water

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

If y is inversely proportional to x and y=4 when x=3, find the value of y when x=6.

Jeremy uses 400 g of flour to make 8 muffins. How much flour would he need to make 30 muffins? Is it direct or inverse proportion problem?

• Direct proportion

• Indirect proportion

Which of the given graphs is a direct proportion?

• A

• B

• C

• D

What ordered pair does a direct variation always go through when graphed?

• (0, 0)

• (1, 0)

• (0, 1)

• (1, 1)

It takes 4 men 6 hours to repair a road. How long will it take 8 men to do the job if they work at the same rate? Is it direct or inverse proportion problem?

• Direct proportion

• Indirect proportion