Interpreting Unit Rate and Slope

The video tutorial introduces the concept of unit rate as slope, explaining how it represents a constant rate of change. Through examples like snowfall and water flow, the lesson demonstrates how to calculate and interpret slope using graphs and tables. It emphasizes the equivalence of slope, unit rate, and constant proportionality, providing practical exercises to reinforce understanding. The tutorial concludes with a summary of key concepts and a challenge to apply the learned skills.

What is the top speed of a real wolf in miles per hour?

• 140 miles per hour

• 10 miles per hour

• 5 miles per hour

• 25 miles per hour

What does a unit rate compare?

• Two quantities of the same unit

• Two quantities of different units

• The numerator and denominator of a fraction

• None of the above

How many inches of snow fell by hour five during the blizzard of 2020?

• Twelve inches

• Four inches

• Ten inches

• Six inches

What is the simplified slope of the snowfall rate?

• 1 inch per hour

• 6 inches per hour

• 3 inches per hour

• 2 inches per hour

What is the unit rate of water passing over the dam per second?

• 1.33 cubic feet

• 4 cubic feet

• 3 cubic feet

• 2 cubic feet

Which well has a faster oil pumping rate?

• Neither

• Both are the same

• Well B

• Well A

What is the slope of the graph representing the relationship between time and volume of water?

• 2/3

• 4/3

• 1/2

• 8/6

What is the unit rate of the graph showing printing expenses per minute?

• $1.00 per minute

• $2.50 per minute

• $0.10 per minute

• $3.60 per minute

What does the slope of a graph represent in terms of unit rate?

• Change in x over change in y

• Change in y over change in x

• Total change in x

• Total change in y

What did you learn about the relationship between slope, unit rate, and constant of proportionality?

• Only slope and unit rate are the same

• Only slope and constant of proportionality are the same

• They are all the same

• They are different concepts