Comparing Rates of Proportional Relationships

This lesson explains how to compare the rates of two proportional relationships: one expressed as an equation and the other as a graph. The equation given is for distance in miles, with a y-intercept and a slope representing the rate of car A. The graph is analyzed to find the rate of car B by identifying the distance covered in one hour. The lesson concludes by determining that car B has the greater rate.

What is the main focus of this lesson?

• To compare rates of two proportional relationships

• To understand the concept of y-intercept

• To learn about different types of graphs

• To solve quadratic equations

How is one of the proportional relationships expressed?

• As a list

• As a table

• As a graph

• As a diagram

What does the equation for Car A represent?

• Time in hours

• Speed in meters per second

• Distance in miles

• Distance in kilometers

In the equation for Car A, what does the number 60 represent?

• The slope

• The speed

• The y-intercept

• The time

What is the slope of the equation for Car A?

• 100 miles per hour

• 60 miles per hour

• 20 miles per hour

• 40 miles per hour

What is the significance of the y-intercept in the equation for Car A?

• It represents the starting distance from home

• It represents the speed of the car

• It represents the time taken

• It represents the fuel efficiency

What does the coefficient of t in the equation for Car A indicate?

• The distance

• The y-intercept

• The slope

• The time

How do you find the rate for Car B?

• By looking at a table

• By using a calculator

• By analyzing a graph

• By reading a book

What is the unit rate for Car B?

• 40 miles per hour

• 50 miles per hour

• 70 miles per hour

• 60 miles per hour

What is the greater rate between Car A and Car B?

• Car A

• Car B

• Both are equal

• Cannot be determined