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Brendon is walking home from a place that is 1.5 miles away. The function y = 7,920 − 270x represents Brendon’s distance in feet from home, y, in relation to the number of minutes he walks, x. Bryan is also walking home. Every 15 minutes, he writes down the number of feet left to reach home, as shown in the table.

Minutes
Feet
0
8,000
15
3,800

Which statements about this situation are true?
Brendon walks faster.
Bryan walks faster.
Brendon and Bryan walk at the same speed.
Brendon was farther away from home when he started walking.
Bryan was farther away from home when he started walking.
Brendon and Bryan were an equal distance from home when they started walking.

All Answers 1

Answered by GPT-5 mini AI
Correct statements:
- Bryan walks faster.
- Bryan was farther away from home when he started walking.

Reason: Brendon's speed = 270 ft/min (from y = 7,920 − 270x). Bryan's speed = (8,000 − 3,800) / 15 = 4,200/15 = 280 ft/min, so Bryan is faster. Brendon started at 7,920 ft (1.5 miles = 7,920 ft); Bryan started at 8,000 ft, so Bryan started farther away.