Understanding Proportional Relationships and Rates

Mrs. Kmac teaches lesson 15 on equations of graphs of proportional relationships involving fractions. The lesson includes examples like a 10K race to calculate pace and a gourmet mushroom scenario to understand cost calculations. Students learn to use tables and graphs to interpret data, focusing on unit rates and proportional relationships.

What is the main focus of the lesson introduced by Mrs. Kmac?

• Understanding geometric shapes

• Learning about historical events

• Equations of graphs of proportional relationships involving fractions

• Solving quadratic equations

In the example of Sam's mother's race, what is the assumed pace for the 10K race based on her previous 5K race?

• 2 kilometers per hour

• 3 and 1/3 kilometers per hour

• 5 kilometers per hour

• 10 kilometers per hour

How do you calculate the unit rate for Sam's mother's race?

• Subtract the time from the distance

• Add the distance and time

• Divide the distance by the time

• Multiply the distance by the time

What does the straight line through the origin on the graph indicate?

• The graph is incorrect

• The relationship is proportional

• The data points are random

• The relationship is not proportional

What does the point (2, 6 and 2/3) represent in the context of Sam's mother's race?

• She runs 6 and 2/3 kilometers in 2 hours

• She runs 2 kilometers in 6 and 2/3 hours

• She runs 10 kilometers in 3 hours

• She runs 5 kilometers in 1 hour

In the gourmet mushrooms example, what is the cost per pound of mushrooms?

• $4

• $6

• $8

• $10

If you spend $16 on mushrooms, how many pounds can you buy?

• 1 pound

• 2 pounds

• 3 pounds

• 4 pounds

What equation represents the cost of mushrooms based on weight?

• y = 10x

• y = 8x

• y = 6x

• y = 4x

What does the point (2, 16) mean in the context of the mushroom example?

• 16 pounds of mushrooms cost $8

• 16 pounds of mushrooms cost $2

• 2 pounds of mushrooms cost $16

• 2 pounds of mushrooms cost $8

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

• 2 pounds

• 3 pounds

• 1.25 pounds

• 2.5 pounds