Determine Rate of Change in Linear Relationships Using Graphs

This lesson teaches how to determine the rate of change in linear relationships by comparing slopes on a graph. It explains the concept of rate as a ratio of change in output to change in input, using examples of car and plane travel to illustrate positive slopes. The lesson also covers negative slopes, using a biplane and dive bomber to demonstrate how to calculate and interpret them. The importance of direction and scale in understanding slopes is emphasized throughout.

What does the rate of change in a linear relationship compare?

• Two measurements with the same units

• Two measurements with different units

• The distance traveled by two different vehicles

• The time taken by two different vehicles

In the context of slopes, what does the direction indicate?

• The speed of the vehicle

• The distance covered

• Whether the slope is positive or negative

• The time taken to travel

How is the rate of change calculated for a car traveling 50 miles in 1 hour?

• 75 miles per hour

• 25 miles per hour

• 100 miles per hour

• 50 miles per hour

What is the rate of change for a plane traveling 750 miles in 3 hours?

• 150 miles per hour

• 250 miles per hour

• 200 miles per hour

• 300 miles per hour

What does a negative rate of change indicate in a graph?

• The line is going up

• The line is fluctuating

• The line is constant

• The line is going down