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College Algebra Math 130

College Algebra Math 130. Amy Jones Lewis. Derby Day. Develop relationship between graphs and equations View slope in terms of rate of change Solve systems of linear equations Work with distance rate and time relationships. Derby Day.

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College Algebra Math 130

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  1. College AlgebraMath 130 Amy Jones Lewis

  2. Derby Day • Develop relationship between graphs and equations • View slope in terms of rate of change • Solve systems of linear equations • Work with distance rate and time relationships

  3. Derby Day Each year, your class sponsors a go-cart derby to raise money for a local food bank. Jamie, a member of your class, has claimed the 1st place trophy each year for the last four years. Everyone in the class is determined to capture the trophy this year.

  4. Derby Day Problem 1: Today is derby day. You and your group will compete against Jamie and Liza. Use your graph paper and your clue cards to help you determine the outcome of the derby.

  5. Derby Day Rules: • The members of your group must work cooperatively to answer all the questions on the cards. • Each member of your group will select a driver A, B, C, or D. • Do not show your card to your group members. You may only communicate the information contained on the card. • Liza’s and Jamie’s cards will be shared by the entire group. • Be sure everyone in your group discusses the entire problem and its solution.

  6. Derby Day Problem 2: • Use a table to organize your information. • Find the slope for each driver. • Find the y-intercept for each driver. • Write the equation for each driver. • Graph your information for each person.

  7. Derby Day • Who won the derby? • What was the speed of this driver? • In what order did the drivers finish the derby? List their names or letters and the time it took them to finish.

  8. Derby Day • After 8 seconds, which driver had traveled the shortest distance from the starting line? Who had traveled the farthest distance? • Locate and label when one driver passed another driver. Is there a point where three drivers are tied? • If the derby were only 20 meters long, does the order of the winners change? How?

  9. Derby Day • After 16 seconds, how far had each driver traveled from the starting line? • How long would the derby have to be for C to win?

  10. Homework • Finish Derby Day problem. • Next Class: Monday, October 25th

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