Comparing Proportional Relationships by Unit Rates

The video tutorial explains how to compare proportional relationships by examining unit rates. It begins with a comparison of store prices, demonstrating how to find unit rates from equations and graphs. The lesson then shifts to comparing train speeds, again using unit rates to determine which train is faster. Throughout, the importance of interpreting numbers carefully is emphasized, ensuring that decisions are made based on accurate comparisons.

What is the unit rate if a store charges $6 for two pounds?

• $5 per pound

• $4 per pound

• $3 per pound

• $2 per pound

If Store A charges $2.50 per pound and Store B charges $2 per pound, which store offers the better buy?

• Store A

• Store B

• Both stores offer the same price

• Cannot be determined

How do you find the unit rate from a graph?

• Find the highest point on the graph

• Find 1 on the x-axis and see the corresponding y-value

• Find the lowest point on the graph

• Find the midpoint of the graph

Train A travels 8 miles in 5 minutes. What is its speed in miles per minute?

• 1.6 miles per minute

• 1.4 miles per minute

• 1.7 miles per minute

• 1.5 miles per minute

Which train is faster if Train A travels 8 miles in 5 minutes and Train B travels 5 miles in 3 minutes?

• Train A

• Train B

• Both trains have the same speed

• Cannot be determined