Directly Proportional Relationships

A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 12 cups of flour. How many cups of milk should he use to keep the proportions correct?

• 6 cups milk

• 3 cups milk

• 5.5 cups milk

• 9 cups milk

Lisa can fold 48 paper stars in 2 hours.

How many stars can she fold in 3 h?

• 48

• 72

• 24

• 96

Based on this graph, which of the following are true? Select all that apply.

• This graph is a proportional relationship because it is linear and reaches (0,0).

• The unit rate is 10 meters per second.

• The direct variation equation is y = 10x.

• According to this graph, the object would travel 60 meters in 60 seconds.

Casey made $171.50 for 14 hours of work last week. This week she earned $98. How many hours did she work this week if she was paid the same rate both weeks?

• 12.25 hours

• 8 hours

• 7 hours

• 1.75 hours

Write an equation to show the proportional relationship in the graph.

• y=¹/₅₂x

• y=104x

• y=52x

• y=¹/₁₀₄x

Which pizzeria makes more money?

• Pizzeria W

• Pizzeria L

• They both make the same amount

Which company charges the lowest price per hour to rent a raft?

• Water's Edge Rafts

• Ryan's Rafts

• They charge the same rate per hour

The graph shows the number of headphones produced by Soundtech. NewSounds produces 175 headphones per hour. Which statement is true?

• NewSounds produces headphones at a faster rate.

• Soundtech produces headphones at a faster rate.

• Both companies produce headphones at the same rate.

• Neither company is producing headphones at a constant rate.

A Jam company is trying out a new recipe. The graph shows the old recipe and the table shows the new recipe. Which recipe uses more sugar per jar of jam?

• The old recipe

• The new recipe

• Impossible to tell

What is the equation that models the graph shown?

• y= 6 x

• y = 2x

• y = 1/6 x

• Impossible to tell