Exploring Graphs to Compare Relationships in 7th Grade Math

This video tutorial covers seventh-grade math concepts, focusing on using graphs to compare relationships. It begins with matching equations to their respective graphs, followed by analyzing graphs from a coffee shop menu to determine proportional relationships. The tutorial concludes with a comparison of biking speeds between two students, Lynn and Andre, using graphing techniques.

What is the slope of the line if the rise is 4 units and the run is 5 units?

• 5/4

• 1/20

• 4/5

• 20

What is the slope of the graph where the rise is two-thirds and the run is one?

• 1/2

• 2/3

• 3/2

• 1/3

Which equation best describes a graph with a rise of three-fourths and a run of three?

• y = 4/3 x

• y = 3/4 x

• y = 1/4 x

• y = 3 x

Which equation corresponds to a graph with a rise of 3 and a run of 2?

• y = 1/6 x

• y = 6 x

• y = 2/3 x

• y = 3/2 x

Which graph likely represents the cost versus volume?

• Graph with higher values

• Graph with lower values

• Graph with non-linear shape

• Graph with negative slope

In the context of the coffee shop data, which graph shows a proportional relationship?

• Calories vs. Volume

• Cost vs. Volume

• Price vs. Quantity

• Volume vs. Price

What does a constant of proportionality of 15 signify in the context of calories per ounce?

• 15 ounces per calorie

• 15 dollars per ounce

• 15 ounces per dollar

• 15 calories per ounce

If Lynn bikes 1.5 kilometers in 5 minutes, what is her speed in kilometers per minute?

• 0.3 km/min

• 1.5 km/min

• 5 km/min

• 0.25 km/min

At what rate did Andre bike if he covered 2 kilometers in 8 minutes?

• 2 km/min

• 8 km/min

• 0.5 km/min

• 0.25 km/min

Who biked faster, Lynn or Andre?

• Andre

• Lynn

• Cannot determine

• Both the same