Final answer:
The person jogs 1.5 kilometers in 15 minutes, using the proportional rate established from jogging 3.5 kilometers in 35 minutes.
Step-by-step explanation:
The subject of this question is Mathematics, specifically dealing with proportional relationships or rates. To solve this problem, let's use the information given that a person jogs 3.5 kilometers in 35 minutes. This rate is equivalent to 1 kilometer every 10 minutes because if you divide both the distance and the time by 3.5, you get:
3.5 kilometers : 35 minutes = 1 kilometer : 10 minutes.
Since the person then jogs an additional 1.5 kilometers, we can calculate the time it would take by multiplying the time it takes to jog 1 kilometer by 1.5:
1 kilometer : 10 minutes => 1.5 kilometers : 1.5 * 10 minutes
1.5 * 10 minutes = 15 minutes.
Thus, the answer is 1.5 kilometers in 15 minutes, which corresponds to option (b).