Unit Rate and Graphs Challenge

The video tutorial explains how to connect unit rates with tables and graphs. It begins by setting up a problem involving distance and time, then demonstrates how to calculate the unit rate using tables. The tutorial further analyzes a graph to verify if it matches the calculated unit rate, emphasizing the use of proportional relationships. The lesson concludes with a verification of the unit rate and a summary of the key steps involved.

What is the purpose of using tables in the context of the given problem?

• To draw graphs directly

• To calculate unit rates from given rates

• To organize data for easy access

• To record student responses

What does the x-axis represent in the problem discussed?

• Seconds

• Minutes

• Hours

• Miles

How is the x-axis labeled in the context of the problem?

• In seconds

• In miles

• In hours

• In minutes

What does the y-axis represent in the problem?

• Time in minutes

• Distance in miles

• Number of trips

• Speed in mph

How do you find the unit rate from a given rate?

• Multiply the given rate by 100

• Divide the y-value by the x-value when x is 1

• Add the x and y values together

• None of the above

What is the unit rate calculated in the video?

• 16 miles per minute

• 1 mile per minute

• 80 miles per 16 minutes

• 5 miles per minute

What is the significance of finding a unit rate?

• It has no real-world application

• It simplifies comparisons

• It is only used in mathematics

• It complicates the calculations

What method is used to verify if the graph matches the calculated unit rate?

• Using a different graph

• Scaling rates and comparing with graph points

• Checking the slope of the graph

• Estimation and guessing

How is the unit rate verified against the graph?

• By drawing a new graph

• By asking another person

• By calculating the slope

• By scaling down the rate and comparing

What step is taken if the unit rate does not match the graph?

• The graph is redrawn

• The problem is discarded

• Further verification steps are considered

• The unit rate is recalculated