Yuto and Riko went for a bike ride on the same path. When Riko left their house, Yuto was 5.25 miles along the path. If Yuto’s average speed was 0.25 miles per minute and Riko’s average speed was 0.35 miles per minute, then Riko will be behind Yuto when 0 ≤ t < 52.5, where t is time in minutes. Explain what this solution means and why t cannot be less than zero.

Answer 1

This solution means that at any point in time between 0 and 52.5 minutes, Riko will be behind Yuto on the path. This is because Riko's average speed is faster than Yuto's, so she will be catching up to him throughout the bike ride.

The reason why t cannot be less than zero is that time cannot be negative. In this context, t represents the time elapsed since the start of their bike ride. Time cannot be negative because it is a measure of the progression of events and cannot exist before the starting point. Therefore, t must be equal to or greater than zero in order to make sense in this scenario.

Answer 2

explain in 1-2 sentences
make it sound like a 7 grader