Comparing Rates of Speed: Proportional Relationships Between Distance and Time

This video tutorial teaches how to compare rates of speed by analyzing the proportional relationship between distance and time. It explains the concept of unit rate, which is calculated by dividing total distance by total time, and how it helps determine who is traveling the fastest. The tutorial uses examples to illustrate these concepts and shows how to graph the data to visualize constant rates. The person with the highest unit rate is the fastest, and graphs with steeper slopes represent higher speeds.

What is the unit rate if a person travels 200 miles in 4 hours?

• 50 miles per hour

• 100 miles per hour

• 75 miles per hour

• 25 miles per hour

Which variable is considered dependent when writing an equation for distance and time?

• Unit rate

• Distance

• Time

• Speed

Who is traveling the fastest if Anne's unit rate is 6, Bill's is 8, and Connor's is 5?

• Bill

• Anne

• Connor

• All are traveling at the same speed

How can you find the distance traveled if you know the time and unit rate?

• Divide time by unit rate

• Subtract unit rate from time

• Multiply time by unit rate

• Add time and unit rate

What does the steepest slope on a distance-time graph indicate?

• The fastest traveler

• The traveler with the shortest time

• The traveler with the longest distance

• The slowest traveler