Earnings, Rates, and Proportionality

This video tutorial covers Math 8 Unit 3 Lesson 4, focusing on comparing proportional relationships. It includes examples of real-life situations such as walking distances, earnings from jobs, and lemonade recipes. The lesson explains how to use equations, tables, and graphs to represent and compare proportional relationships. It also includes a review of homework questions and key concepts.

What is the main focus of Math 8 Unit 3 Lesson 4?

• Learning about probability

• Comparing proportional relationships

• Understanding geometric shapes

• Solving quadratic equations

In the walking distance example, what does the equation Y = 4.2x represent?

• The speed of a car

• The distance Sam walks in miles

• The amount of money Sam earns

• The number of hours Sam works

How much does Helena earn per hour babysitting?

• $12.00

• $10.00

• $8.40

• $7.00

How long does it take Jada to earn $150 at her rate?

• 18 hours

• 20 hours

• 22 hours

• 21.5 hours

What is Claire's rate of earning per envelope stuffed?

• $0.15

• $0.20

• $0.05

• $0.10

Which lemonade recipe uses more water per cup of mix?

• Neither uses water

• Recipe 2

• Recipe 1

• Both use the same amount

What is the constant of proportionality often referred to as?

• Rate of change

• Variable

• Constant of proportionality

• Slope

Which hauling company offers a better rate for 40 cubic yards of dirt?

• Happy Hauling Services

• Easy Excavation

• Neither offers a good rate

• Both are the same

What is the slope of the line between points (2, 7) and (4, 11)?

• 4/5

• 1/2

• 2/3

• 3/4