Directly and Proportional Graphs and Equations

Does the following represents direct variation?

• Yes

• No

Does the following represents direct variation?

• Yes

• No

Does the following table represent direct variation?

• Yes

• No

Does the following table represent direct variation?

• Yes

• No

Which of the following statements can be used to create the graph shown?

• For every 5 hours of work you get $6

• For every 24 hours of work you get $10

• For every 36 hours of work you get $50

• For every 6 hours of work you get $5

A graph shows a straight line that passes through the points (0,0) and (5,15). What is the equation of the line that represents this proportional relationship?

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

The mass of a substance varies directly with the volume of the substance. The volume of 100 kilograms of the substance is 80 liters.

What is the volume, in liters, of 3.2 kilograms of this substance?

• 2.12 cubic liters

• 4 cubic liters

• 6.34 cubic liters

• 2.56 cubic liters