2.1 and 2.2 Comparing Relationships

Focus Question: 
How can we use tables, graphs, and equations to compare linear relationships?

Part 1:
In this lesson, we are going to focus on how to use different representations in order to determine the distance were two brothers meet in a race.

Here is the set-up:

Henri challenges his older brother Emile to a race.  Because Emile’s walking rate is faster, Emile gives Henri a 45-meter head start.  Emile wants the race to end in a tie.

What distance should the race be so that the race ends in a tie?

In order to better understand how we can use the various representations to help us tackle this problem, work through the attached activity.

Here is what you MUST do before next class:

• Finish parts 2 & 3 of the attached activity (Block E only)
• ACE (2,3) p. 38
• Desmos HW: 
• Discover three equations whose graphs will intersect to form a triangle.  Take a screenshot of your graph and equations.
• Discover three equations whose graphs will NOT intersect to form a triangle.  Take a screenshot of your graph and equations.