Comparing Linear Relations Using Cell Phone Plans

This lesson teaches how to compare two linear relations by analyzing their slopes and Y intercepts. It explains how to identify slope in verbal descriptions and compares functions using graphs. The lesson uses cell phone plans as an example to demonstrate cost comparison and decision-making based on linear equations. It concludes with a summary of key takeaways.

What are some indicator words for identifying the slope in a verbal description of a linear relation?

• Start, end, middle

• High, low, medium

• Initial, final, constant

• Per each, every, for each

In the context of the cell phone plans discussed, what does the Y-intercept represent?

• The initial cost of the plan

• The cost per call

• The total cost after 10 calls

• The rate of change

Which plan becomes more cost-effective after 25 calls?

• Neither plan is cost-effective

• Both plans are equally cost-effective

• The Blue plan

• The Orange plan

Why is the Orange plan initially less expensive despite having a higher cost per call?

• It has a lower initial cost

• It offers a discount after 10 calls

• It includes free calls

• It has a lower rate of change

What is the main takeaway from comparing the two linear relations in the lesson?

• The plan with the steeper slope is always cheaper

• The plan with the higher initial cost is always better

• Initial cost is more important than rate of change

• Understanding slope and Y-intercept helps make informed decisions