Barbara, Mark, and Carlos participated in the third 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. Mark 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 equation y=5/2 x + 1 , where x represents time in seconds A. What is the dependent variable? What is the independent variable?

B. Using the given information, graph lines for Barbara, Mark, and Carlos on the same set of axes. Who won the -meter race and will advance to the final race?

C. Write equations that describe Barbara’s and Mark’s motion.

D. How fast did Carlos pedal? Write your answer as a unit rate.

E. When did Carlos pass Barbara? Confirm your answer algebraically.