Proportional Relationships and Rates

Mrs. Lopez concludes lesson 15 on proportional relationships, focusing on equations and graphs. The lesson includes two examples: calculating the cost of mushrooms based on weight and determining the time for a race based on distance. Students learn to identify proportional relationships, calculate unit rates, and write equations to model data. The lesson emphasizes using complete sentences in answers and understanding the context of problems.

What is the main focus of lesson fifteen?

• Understanding geometric shapes

• Learning about historical events

• Introduction to algebraic expressions

• Equations of graphs of proportional relationships and building fractions

In the context of the gourmet cooking example, what does a straight line starting from the origin on a graph indicate?

• The relationship is inversely proportional

• The graph is incorrect

• The relationship is proportional

• The relationship is non-linear

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

• $5 per pound

• $8 per pound

• $10 per pound

• $12 per pound

How do you represent the cost of mushrooms using an equation?

• C = 8 + W

• C = W/8

• C = W + 8

• C = 8W

If you have $10, how many pounds of mushrooms can you buy?

• 2 pounds

• 1 pound

• 1.25 pounds

• 2.5 pounds

What is the unit rate of Grace's mom's running speed in kilometers per hour?

• 3.33 km/h

• 5 km/h

• 6.67 km/h

• 10 km/h

How long will it take Grace's mom to finish a 10k race if she runs at the same rate as the 5k?

• 2 hours

• 4 hours

• 1 hour

• 3 hours

What does the point (0,0) represent in the context of Grace's mom's running problem?

• She can run 0 kilometers in 0 hours

• She can run 10 kilometers in 1 hour

• She can run 10 kilometers in 0 hours

• She can run 0 kilometers in 1 hour

What is the significance of the constant unit rate in a proportional relationship?

• It shows the relationship is non-linear

• It suggests the relationship is inversely proportional

• It indicates a variable rate

• It confirms the relationship is proportional

What time should Grace's family be at the finish line if the race starts at 10 a.m. and takes 3 hours?

• 1 p.m.

• 12 p.m.

• 11 a.m.

• 2 p.m.