Question

Ceci and Alicia are both participating in a charity bike ride event. riders in the event can choose between a 20-Kilometer route or a 30-kilometer route.

Ceci chooses the 30-kilometer route, and Alicia chooses the 20-kilometer route. All riders start at the same time regardless of which route they choose.

The equations shown represent Ceci's and Alicia's distances, y, in kilometers, from the finish line as a function of time, x, in minutes, since the ride started.

Ceci′s equation: y=−1/3x+30


Alicia′s equation: y=−1/5x+20


Which graph represents Ceci's distance from the finish line as a function of time?

(1 point)








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Answer 1

Ceci's line: y = −(1/3)x + 30 has y-intercept 30 and slope −1/3, so it passes through (0,30) and (90,0) (decreases 1/3 km each minute, finishing at 90 minutes).

So pick the graph whose line starts at 30 on the y-axis and declines steeper than Alicia's, crossing the x-axis at x = 90.