Proportional Relationships and Graphs

The video tutorial covers grade seven mathematics, focusing on using graphs to compare relationships. It begins with matching equations to their respective graphs by identifying constants of proportionality. The tutorial then analyzes data from a coffee shop menu to determine which graph represents a proportional relationship. Finally, it compares the biking speeds of Lin and Andre by graphing their distances over time, highlighting the concept of proportionality and constant speed.

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

• 1

• 2

• 3

• 4

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

• Graph 4

• Graph 1

• Graph 2

• Graph 3

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

• By counting the number of data points

• By calculating the area under the curve

• By identifying the y-intercept

• By finding the slope of the line

Which graph represents a proportional relationship in the coffee shop data?

• Neither graph

• Cost vs. Volume

• Calories vs. Volume

• Both graphs

What is the constant of proportionality for the calories vs. volume graph?

• 10

• 20

• 25

• 15

What is the significance of a graph starting at the origin in a proportional relationship?

• It indicates a non-linear relationship

• It suggests a constant y-intercept

• It means the graph is incorrect

• It shows a direct proportionality

How far did Lin bike in 5 minutes?

• 2 km

• 1.5 km

• 1 km

• 2.5 km

Who biked faster, Lin or Andre?

• Lin

• Andre

• Both at the same speed

• Cannot be determined

What does a steeper graph indicate in terms of speed?

• Constant speed

• Slower speed

• Faster speed

• Variable speed

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

• 0.5

• 0.7

• 0.9

• 1.1