To analyze the distance traveled between 10 minutes and 15 minutes, we can look at the provided piecewise function, which consists of the following points:
- (0, 0): Starting point at 0 minutes and 0 miles
- (15, 10): After 15 minutes, Jacob has traveled 10 miles
- (25, 10): After 25 minutes, he is still at 10 miles
- (50, 30): After 50 minutes, he has traveled 30 miles
From 0 to 15 minutes, the distance increases from 0 miles to 10 miles, which indicates that Jacob is traveling during this time.
From the point (15, 10) to (25, 10), we see that the distance remains at 10 miles for the entire interval from 15 to 25 minutes. This indicates that Jacob is stationary (not traveling) during that time, specifically 10 minutes from 15 to 25.
To answer the specific question about the distance traveled between 10 minutes and 15 minutes:
- At 10 minutes, he is still traveling, but the function doesn't give a direct distance at that exact point. However, since he reaches 10 miles by 15 minutes, and he was traveling during that time, it can be inferred that he continued to cover distance from 10 minutes up until 15 minutes, reaching the 10-mile mark.
Based on this analysis for the interval between 10 minutes and 15 minutes:
C. The distance traveled between 10 minutes and 15 minutes is increasing.
Jacob is continuously traveling during this interval, moving toward the 10-mile mark.
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