Understanding Proportional Relationships and Rates

This video tutorial covers using graphs to compare relationships, matching equations to graphs, analyzing graphs from a coffee shop menu, and graphing bike rides. It explains how to determine the correct graph for given equations, identify proportional relationships, and calculate constants of proportionality. The tutorial also includes a practical example of graphing and comparing the biking speeds of two individuals.

What is the equation for a graph with a rise of 4 units and a run of 5 units?

• y = 4/5 x

• y = 5/4 x

• y = 4 x

• y = 5 x

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

• y = 3 x

• y = 2 x

• y = 3/2 x

• y = 2/3 x

If a graph has a rise of 4/3 and a run of 1, what is the equation?

• y = 4 x

• y = 3/4 x

• y = 1/4 x

• y = 4/3 x

Which graph represents calories versus drink volume?

• The graph with numbers ranging from 10 to 100

• The graph with numbers ranging from 1 to 10

• The graph with numbers ranging from 50 to 350

• The graph with numbers ranging from 5 to 50

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

• 5 calories per ounce

• 20 calories per ounce

• 10 calories per ounce

• 15 calories per ounce

How many calories are there per ounce in the proportional relationship?

• 5

• 20

• 10

• 15

What is the distance Lynn biked in 5 minutes?

• 2.5 kilometers

• 1 kilometer

• 2 kilometers

• 1.5 kilometers

How far did Andre bike in 8 minutes?

• 2 kilometers

• 1.5 kilometers

• 3 kilometers

• 2.5 kilometers

Who was biking faster, Lynn or Andre?

• Both at the same speed

• Andre

• Cannot be determined

• Lynn

What is the speed of Lynn in kilometers per minute?

• 0.3 kilometers per minute

• 0.25 kilometers per minute

• 0.2 kilometers per minute

• 0.35 kilometers per minute