1. Section 2

1.20. Explore 3

Mathematics 20-3 Module 3

Section 2: Slope—Rate of Change

 

In Try This 3 you will use proportional reasoning and unit analysis to solve a rate problem.

 

Try This 3

 

Many people enjoy riding zip lines.

 

This is a photo of a person on a zip line.

Used with permission of Richard Wilson.


 

The zip line shown in the photo is 162 m in length, and the ride takes about 20 s. The average speed of a rider is .

  1. Set up a proportion to determine the average speed of a rider on the zip line in m/s (metres/second). hint answer


  2. Sketch a graph of the distance travelled over time. Use the sample graph paper.

  3. Suppose you want to express the average speed in question 2 in meters per minute .

    1. Using unit analysis, what conversion factor will you use to get rid of seconds and end up with minutes? answer

    2. Convert the average speed in question 2 into metres per minute. answer

course folder Save your responses to your course folder.

 

Share 2

 

Share your graph from question 2 of Try This 3. Compare your responses to two other student responses.

  1. What is the slope of your graph?

  2. How does the slope compare to your answer for question 1?

course folder Revise your response if needed, and save your response to your course folder.

 

Rearrange

 

Cross multiply

 


 

Aron would have to add 0.1 L (or 100 mL) of oil to the 5 L of gasoline.


    or     

The speed is 486 m/min.


The average speed of the zip line rider was 8.1 m/s.
Find the distance travelled (m) in 1 s.