Final answer:
Ayesha's unit rate of speed while running is 0.14 kilometers per minute, calculated by dividing the distance she runs (0.5 kilometers) by the time it takes (3.5 minutes). This results in option A) 0.14 km/min being the correct choice.
Step-by-step explanation:
The student's question is about finding Ayesha's unit rate of speed in kilometers per minute. To find the unit rate, we divide the distance by the time. Ayesha runs 0.5 kilometers in 3.5 minutes, so her unit rate is:
Unit rate = Distance ÷ Time = 0.5 km ÷ 3.5 min = 1/7 km/min
1 km/min is approximately 0.142857 km/min, which can be rounded to 0.14 km/min. Therefore, the correct answer is A) 0.14 km/min.
It is important to check if the answer is reasonable. Considering that if someone runs a longer distance in a set period, their unit rate of speed would increase, the answer found is reasonable as it is a standard pace for sustained running.