Exploring Equations of Proportional Relationships with Fractions

What is the essential question of this lesson?

• What is the connection between tables and graphs?

• How to solve equations involving fractions?

• What is the advantage of showing a proportional relationship involving fractions on a graph?

• How to calculate unit rates?

If Sam's mother ran a 5k race in 1.5 hours, what is her unit rate in km per hour?

• 4 km per hour

• 3.33 km per hour

• 2 km per hour

• 3 km per hour

How far did Sam's mother run after 2 hours?

• 10 km

• 8.33 km

• 6.67 km

• 5 km

What are the two key characteristics of a graph showing a proportional relationship?

• It is a curved line and passes through the origin

• It is a straight line and passes through the origin

• It is a straight line and does not pass through the origin

• It is a curved line and does not pass through the origin

What does the ordered pair (2, 6.67) represent in the context of Sam's mother's race?

• 2 hours run in 6.67 km

• 6.67 km run in 2 hours

• 2 km run in 6.67 hours

• 6.67 hours run in 2 km

What is the constant of proportionality (unit rate) for Sam's mother's race?

• 5.67

• 4.5

• 2.5

• 3.33

What is the equation that models the data for Sam's mother's race?

• y = 4x

• y = 5x

• y = 3.33x

• y = 2x

What is the unit rate in cost per pound for the gourmet mushrooms?

• $9 per pound

• $6 per pound

• $7 per pound

• $8 per pound

If you spend $10 on mushrooms, how many pounds can you buy?

• 1.25 pounds

• 1.5 pounds

• 1.75 pounds

• 2 pounds

What would be the cost for 30 pounds of mushrooms?

• $260

• $240

• $220

• $200