Proportional Relationships and Graphs

This video tutorial covers grade seven mathematics, focusing on using graphs to compare relationships. It begins with matching equations to their corresponding graphs by identifying constants of proportionality. The lesson then analyzes data from a coffee shop menu, distinguishing between cost and calories versus volume graphs, and identifying proportional relationships. Finally, it compares the biking speeds of Lin and Andre using graphs, highlighting the concept of constant speed and proportionality.

What is the constant of proportionality for the equation y = 2x?

• 1

• 4

• 2

• 3

Which graph matches the equation y = 4/5x?

• Graph 4

• Graph 3

• Graph 2

• Graph 1

How do you determine the constant of proportionality from a graph?

• By measuring the length of the line

• By counting the number of points on the line

• By identifying the y-intercept

• By finding the slope of the line

Which graph represents the cost versus volume relationship?

• The graph with increments of 50

• The graph with no origin

• The graph with increments of 1

• The graph with a curved line

What indicates a proportional relationship in a graph?

• A line that is horizontal

• A line that starts at any point

• A line that curves upwards

• A line that starts at the origin and is straight

What is the constant of proportionality for the calories versus volume graph?

• 10

• 25

• 15

• 20

How far did Lin bike in 5 minutes?

• 1 km

• 2.5 km

• 1.5 km

• 2 km

Who biked faster, Lin or Andre?

• It cannot be determined

• Both biked at the same speed

• Andre biked faster

• Lin biked faster

What does a steeper graph indicate about a biker's speed?

• The biker is slower

• The biker is stationary

• The biker is faster

• The biker is at a constant speed

What is the approximate constant of proportionality for Andre's biking speed?

• 0.5

• 0.7

• 1.1

• 0.9