### Home > CAAC > Chapter 7 > Lesson 7.2.2 > Problem 7-65

THE BIG RACE − HEAT 2

Barbara, Elizabeth, and Carlos participated in the second heat of “The Big Race.” Barbara thought she could win with a 3-meter head start even though she only pedaled 3 meters every 2 seconds. Elizabeth began at the starting line and finished the 20-meter race in 5 seconds. Meanwhile, Carlos rode his tricycle so that his distance (

*y*) from the starting line in meters could be represented by the rule*y*= + 1, where*x*represents time in seconds. Homework Help ✎Using the given information, graph lines for Barbara, Elizabeth, and Carlos on the same set of axes. Who won the 20-meter race and will advance to the final race?

Find rules that describe Barbara's and Elizabeth's motion.

How fast did Carlos pedal?

When did Carlos pass Barbara? Confirm your answer algebraically.

What are the slope and *y*-intercept of each of their lines?

Use the graph. What part of the graph shows his rate? How far does Carlos pedal each second?

After 2 seconds. Where is this shown on the graph? Use the Equal Values Method to confirm your answer algebraically.

Use the points in the eTool to graph each person's starting point and progress.

Click the link at right for the full version of the eTool: AC 7-65 HW eTool