Desmos Proportional Relationships

What makes a graph proportional?

• Straight Line

• The line goes through (0,0)

• Curvy line

• Straight line and passes through (0,0)

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

• y

• x

• 14

• y=14

The constant of proportionality is 9/1. Interpret what that means in the context of this story.

• $9 per hour

• $9 for 3 hours

• 9 hours per $1

Which equation matches the graph?

• y = 7x

• y = 42x

• y = 6x

• y = 2x

What is the unit rate if the rate is 30 laps for 10 minutes.

• 3 laps per minute

• 10 laps per minute

• 15 laps per minute

• 10 laps per two minute

The number of trees and the number of apples are given in the table above.  Determine which statement below is correct.

• The table is not proportional because the unit rate is not constant.

• The table is proportional and the unit rate is 1/13

• The table is proportional and the unit rate is 13.

• The table is not proportional because it doesn't pass through the origin.

Using the graph above, determine the constant of proportionality.

• k = 0

• k = 1

• k = 3

• k = 6

Using the table above, determine which statement is correct.

• The table is proportional and the unit rate is 100.

• The table is not proportional because the unit rate is not constant.

• The table is not proportional because it doesn't pass through the origin.

• The table is proportional and the unit rate is 0.01.

Determine which equation does NOT represent a proportional relationship.

• y = -2x

• y = 1/2 x

• y = 3x

• y = 5x - 7

Using the table above, determine the equation of the line.

• y = 5x

• y = 10x

• y = 1/5 x

• y = 1/10 x