Ratios and Proportions with Graphs

Does the table represent a proportional relationship?

• Yes.

• No.

Which of the given graphs is a direct variation?

• A

• B

• C

• D

Which graph is proportional?

• A

• B

• C and D

• All of the graphs are proportional

Relationships are proportional if they have a constant rate of change.

You can determine this by dividing the y values by the corresponding x-values.

The tables shown represent the number of pages Martin and Gabriel read over time. Which table represents a proportional relationship between the time spent reading and the number of pages read? What is the rate of change for that table?

• Martin's is proportional. The rate of change is 2.5 pages per minute.

• Martin's is proportional. The rate of change is 0.4 pages per minute.

• Gabriel's is proportional. The rate of change is 0.6 pages per minute.

• Gabriel's is proportional. The rate of change is 1.7 pages per minute.

The middle school is planning a family movie night where popcorn will be served. The constant relationship between the number of people (n) and the number of cups of popcorn (p) is shown in the table. How many people can be served with 519 cups of popcorn?

• 173 people

• 180 people

• 240 people

• 130 people

The table and graph show the amount of money Mi-Ling and Daniel save each week. Who saves more per week?

• Daniel

• Mi-Ling

Is this table proportional or non-proportional?

• Proportional

• Non-Proportional

What is the constant of proportionality?

• 8

• 16

• 24

• 2

Write an equation for this situation.

• y=9.75x

• y=19x

• y=19.25x

• y=9.5x

Write an equation for this relationship.

• y=10.99x

• y=22.98x

• y=22x

• y=21.98x