Proportional Relationships to Solve Rate Problems

What is the constant of proportionality for the relationship between batches of cookies and cups of flour?

• 1/2

• 2

• 1

• there is no constant of proportionality because the graph does not represent a proportional relationship

What is the constant of proportionality?

• 15

• 5

• 75

• 1/15

What is the unit rate?

• 1/3 of a lemon per glass

• 12 lemons per glass

• 3 lemons per glass

• 8 lemons per glass

Which equation matches the table?

• y = 11x
• y = 10x
• y = 22x
• y = 12x

Based on the constant of proportionality from the table, how much money would be earned if 5 phones were sold?

• $43

• $215

• $210

• $200

A movie theater used the equation y=8.50x to calculate how much money they made selling buckets of popcorn where y is the cost and x is the number of buckets. What does the constant of proportionality represent in this situation?

• the number of buckets sold

• the cost per bucket

• the total money earned

• there is no constant of proportionality for this situation

An industrial printing machine printed 980 pages in 4 minutes. How much would it have printed in 7 minutes?

• 1715

• 245

• 3920

• 6860

Does the table represent a proportional relationship? If so, what is the constant of proportionality?

• Yes; 5

• Yes; 1/5

• The quantities are not proportional

In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs.  Write and solve a proportion to find the number c of cats.

• c=15
• c=18
• c=21
• c=16

Josh bought a pizza with eight slices of pizza for $12. What is the cost of a slice of pizza?

• $12

• $1.50

• $3

• $0.67