Earnings and Proportional Relationships

This lesson covers comparing proportional relationships using different representations such as equations, tables, and graphs. It explains the concept of constant proportionality and unit rate, using a case study of Claire and Jada to illustrate how to calculate and compare hourly rates. The lesson emphasizes understanding equivalent ratios and the importance of analyzing data in various forms.

What is the main focus of lesson four?

• Solving quadratic equations

• Understanding linear equations

• Comparing proportional relationships

• Analyzing statistical data

In the equation y = kx, what does 'k' represent?

• The constant of proportionality

• The y-intercept

• The x-intercept

• The slope of the line

What is the unit rate in a proportional relationship?

• The sum of all values

• The ratio of y to x

• The difference between two quantities

• The total amount divided by the number of units

How is Claire's hourly rate represented in the equation?

• y = 13.25x

• y = 14.5x

• y = 12.5x

• y = 15x

How much does Jada earn per hour?

• $15.00

• $13.25

• $12.75

• $14.50

What is the difference in hourly earnings between Claire and Jada?

• $1.50

• $0.75

• $1.25

• $1.00

If Jada works 7 hours, how much does she earn in total?

• $91.00

• $92.75

• $93.50

• $90.25

What is the equivalent ratio for Claire's earnings for 2 hours?

• $27.50

• $30.00

• $28.50

• $29.00

How much more does Claire earn than Jada in 20 hours?

• $25.00

• $15.00

• $20.00

• $30.00

What is the purpose of simplifying to the unit rate?

• To find the total amount

• To determine the cost per unit

• To identify the maximum value

• To calculate the average