1. Lesson 2

1.7. Explore 3

Mathematics 30-3 Module 3

Module 3: Algebra

 

Partial linear relations have equations that can be expressed using y = mx + b. This type of equation also yields a straight line with slope m; however, the line passes through a y-intercept (0, b).

 

Open Partial Linear Relations (y = mx + b) and move the sliders to explore different values of m and b in y = mx + b.

 

 

This is a play button that opens Partial Linear Relations (y = mx + b).



textbook

Study and review the following examples and solutions in the textbook:

  • “Example 2” on page 35
  • “Example 3” on page 36
Self-Check 1

 

It is time to check your understanding of direct and partial linear relations. Give the following a try!

 

Salina is deciding on whether to join a local pickup hockey league or purchase a gym membership. The hockey league charges its players $7 per game. Whereas the gym membership charges a yearly fee of $210, plus $2 per visit.

  1. Write equations that represent the cost in relation to the number of outings for each option. Answer
  2. If Salina decides that she is able to attend 45 outings over 6 months, which option is least costly? Answer
  3. How many outings would result in the same cost for both options? In other words, how many times would Salina have to go to the gym or to play hockey in order for both options to cost the same amount? Answer
Self-Check 2


textbook

Answer “Build Your Skills” questions 1 to 7 on pages 41 and 42 of the textbook. Answer

 

 



glossary

Add the following terms to your copy of Glossary Terms:

  • x-intercept
  • y-intercept

formula

Add the following formulas to your copy of Formula Sheet:

  • y = mx
  • y = mx + b
Since the cost needs to be the same,

 
“Example 4” on pages 40 to 41 of the textbook is similar to this question.