Proportional Relationships, Determine Unit Rates, and Find Missing Values

Which equation matches the graph?

• y = 7x

• y = 42x

• y = 6x

• y = 2x

In the equation y = 14x, what is the constant of proportionality?

• x

• 14

• y

The table shows the number of red markers and yellow markers.

Are the number of red markers and yellow markers. proportional?

• yes

• no

The two rectangles are scale drawings. What is the measurement of x?

• 21

• 1.25

• 20

• 4

The distance between two cities on a map is 4 inches.  Find the actual distance if the scale on the map is 2 inches = 40 miles.

• 165 miles

• 50 miles

• 80 miles

• 41.25 miles

What is the scale factor from ΔDEF to ΔABC?

• 1/2

• 7/3

• 2

• 10/3

Which measurements below show a scale factor of 3?

• 4 in correspond with 8in

• 4 cm correspond with 16 cm

• 4 meters correspond with 9 millimeters

• 4 feet correspond with 12 feet

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.