Lesson 7.06

The Big Race!

Objective:  To solve real life problem using graphing of linear equations

 

PROBLEM

You are competing in the big tricycle race against Cameron, Ashley, Ron, Leslie and Elizabeth at today’s rally in the gym.  Determine who will win the race.

  

 

CLUES

  • Elizabeth rides one meter for every four seconds (because she has a flat tire) and gets a 10-meter head start.
  • Leslie rides two meters per second and starts two seconds after the start of the race.
  • Cameron rides his tricycle three meters every two seconds and starts at the starting line.
  • Ashley gets a six-meter head start and rides twice as fast as Elizabeth.
  • Ron rides half as fast as Leslie but gets an eight-meter head start.
  • You start at the starting line and catch up to Elizabeth in four seconds.

QUESTION

If the race is 25 meters long, who will win the race?
   

  

Assignment 7.06 - The Big Race 

Use Geometer’s Sketchpad to graph all 6 equations on one graph.   (NOTE: If you do not have the Geometer’s Sketchpad program, you may create the graph on ¼-inch graph paper.)

 Create a word document for the BIG RACE problem.

  • Restate the problem in your own words.

  • Write an equation for each person who is in the big race.If the race is 25 meters long, who will win the race? 

  • Who will come in second? Third?  Fourth?  Fifth?  Sixth?  

  • Summarize what you learned in this unit about slope and y-intercept.  How do the numbers relate to the steepness of the line and to the y-intercept?  Where are the slope and y-intercept found in linear equations?

Email your Word document with your answers to your teacher.

  

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