Representations of Proportional and Non-Proportional Relationships

Which equation matches the graph?

• y = 7x

• y = 42x

• y = 6x

• y = 2x

Does the table show a proportional relationship? If so, what is the constant rate of change?

• Yes; 1/3

• Yes; 3

• Yes; 5

• No

Which of the statements about the graph below is true?

• The graph is proportional and has an equation of y = -x +18.

• The graph is non-proportional and has an equation of y = -x + 18.

• The graph is non-proportional and has an equation of y = -2x + 18.

• None of the above statements are true.

The table below shows the amount that a catering company charges based on the number of people at an event. Which of the following equations shows the relationship between c, the amount the company charges based on p, the number of people at the event?

• c = 16p

• c = 75p + 13

• p = 13c + 75

• c + 13p + 75

Which of the following describes a proportional relationship?

• Drew paid $2.86 per pound of apples plus $0.10 for a grocery bag.

• Heather rented a hotel for $110 a night plus $18 a night for valet parking.

• Carlos bought tires for $250 each with a discount of $50 off his total purchase.

• Manuel bought three pairs of shoes for $99 each plus a shipping fee of $6.

Which is true about the table and the graph shown below?

• Only the table shows a proportional relationship.

• Only the graph shows a proportional relationship.

• Both the table and the graph show a proportional relationship.

• Neither the table nor the graph show a proportional relationship.

Does this equation represent a proportional relationship?

• Yes

• No

What is the slope of the table?

• 15

• 6

• 1/6

• -6

Does this equation represent a proportional relationship?

• Yes

• No

Shawn makes $7.50 an hour to babysit for his next door neighbors.  Describe the graph of this relationship.

• Proportional

• Non-proportional