Writing Equations for Proportional Relationships: Distance and Time

This video tutorial explains the concept of proportional relationships between distance and time. It covers how to calculate the unit rate by dividing total distance by total time, and how to write equations representing these relationships. The tutorial clarifies common confusions, such as whether to divide time by distance or vice versa, and provides instructions on dividing decimals. It also demonstrates graphing data to find the constant of proportionality, concluding with a summary of the lesson.

What is the unit rate if you travel 150 miles in 2 hours?

• 75 miles per hour

• 50 miles per hour

• 150 miles per hour

• 100 miles per hour

In the equation Y = MX, what does M represent?

• The total distance

• The dependent variable

• The independent variable

• The constant of proportionality

When calculating the unit rate, which value should be divided by the other?

• Speed by time

• Distance by speed

• Distance by time

• Time by distance

What is the constant of proportionality if the unit rate is 3 mph?

• 1 mph

• 2 mph

• 3 mph

• 4 mph

What is the equation that represents the relationship between distance and time if the unit rate is 3 mph?

• D = 4T

• D = 3T

• D = 2T

• D = 5T