Comparing Graphs and Equations Representing Proportional Relationships

This lesson focuses on comparing proportional relationships through graphs and equations to determine rates of change. Jayden's speed is analyzed using the equation y = 17x, showing a constant speed of 17 mph. Charlie's speed is determined from a graph, showing a constant speed of 15 mph. The lesson concludes that Jayden travels faster than Charlie by 2 mph. Students learn to compare graphs and equations to identify greater rates of change.

What is the main objective of this lesson on proportional relationships?

• To calculate the area of a circle

• To understand the concept of acceleration

• To compare graphs and equations to find the greater rate of change

• To learn how to solve quadratic equations

If Jayden rides his bike for 3 hours, how far will he travel according to the equation y = 17x?

• 85 miles

• 51 miles

• 68 miles

• 34 miles

What is Jayden's constant speed in miles per hour?

• 20 miles per hour

• 17 miles per hour

• 15 miles per hour

• 25 miles per hour

How many miles does Charlie travel in 2 hours according to the graph?

• 35 miles

• 30 miles

• 25 miles

• 20 miles

Who is traveling at a faster speed, and by how much?

• Charlie, by 5 miles per hour

• Charlie, by 2 miles per hour

• Jayden, by 2 miles per hour

• Jayden, by 5 miles per hour