Christian went on a run. He jogged for five minutes, then increased his rate to a faster constant pace for seven minutes. He then took a rest for four minutes. During what time interval has Christian traveled 1.5 miles?

(1 point)
Christian traveled 1.5 miles from ≤t≤

To solve this problem, we need to determine how far Christian has traveled during each time interval and then identify the time interval during which he has traveled 1.5 miles.

During the first time interval (t ≤ 5 minutes), Christian is jogging at a constant pace. Since we are not given his speed, we cannot determine how far he has traveled. Let's call the distance he has traveled during this time interval d1.

During the second time interval (5 minutes < t ≤ 12 minutes), Christian is jogging at a faster constant pace. Again, we are not given his speed, so we cannot determine how far he has traveled. Let's call the distance he has traveled during this time interval d2.

During the third time interval (12 minutes < t ≤ 16 minutes), Christian is resting and not traveling any distance. Let's call the distance he has traveled during this time interval d3, which is 0.

To determine the time interval during which Christian has traveled 1.5 miles, we can add up the distances traveled during the first two time intervals:

d1 + d2 = 1.5 miles

Therefore, the time interval during which Christian has traveled 1.5 miles is t ≤ 12 minutes.