Constant of Proportionality and Rates

The video tutorial covers Math 7 Unit 2 Lesson 12, focusing on using graphs to compare relationships. It begins with mental math exercises and transitions into an activity where students analyze the time and distance of three individuals racing to a finish line. The lesson includes plotting graphs and writing equations to understand different scenarios. It also explores the comparison of speeds between space rocks and the analysis of rope prices. The session concludes with homework instructions and matching equations to graphs.

What is the constant of proportionality for Diego's race if he covers 50 meters in 30 seconds?

• 3/5 m/s

• 2 m/s

• 5/3 m/s

• 1/2 m/s

How long does it take Lyn to reach the bumper cars if her rate is 5/2 m/s?

• 30 seconds

• 20 seconds

• 40 seconds

• 10 seconds

May starts her race 10 seconds late. How does this affect her graph?

• It starts at the origin

• It starts 10 seconds to the right

• It does not affect the graph

• It starts 10 seconds to the left

Who reaches the bumper cars first?

• Tyler

• May

• Lyn

• Diego

What is the equation for Diego's movement?

• y = 3/5x

• y = 2x

• y = 5/2x

• y = 5/3x

Which racer has the same pace as Diego?

• Lyn

• May

• Tyler

• None

In the space rocks example, which asteroid is faster?

• Asteroid X

• Asteroid Y

• Both are the same

• Cannot be determined

What is the constant proportionality for the calories per ounce in the coffee shop example?

• 10 calories/ounce

• 15 calories/ounce

• 20 calories/ounce

• 25 calories/ounce

Which graph represents the cost in dollars versus drink volume?

• Both graphs

• Neither graph

• Graph B

• Graph A

What is the slope of the line representing the cost of blueberries at Store B?

• $5 per pound

• $3 per pound

• $6 per pound

• $4 per pound