Question

30 points. Participant A runs at a slower rate than Participant B. Both participants run at a constant rate. This table represents Participant A. Time (min) 5 8 12 15 Number of laps run 2.75 4.4 6.6 8.25 Which equation could represent Participant B? Time in minutes is represented by x and number of laps run is represented by y. Select each correct answer. y = 0.3x y = 0.9x y = 0.7x y = 0.5x

Answer 1

Participant A runs
2.75 laps in 5 minutes.
2.75/5 = 0.55 lap/minute

If x = minutes, and y = laps, then the equation for Participant A is
y = 0.55x

y = 0.3x and y = 0.5x represent a slower participant than A.

Participant A is slower than Participant B, so Participant B must run faster than Participant A.

y = 0.7x and y = 0.9x represent a faster race that y = 0.55x

Answer:
y = 0.7x
y = 0.9x