Answer :
Final answer:
To calculate the number of inches in a 5k race, convert 5 km to meters, then to centimeters, and finally to inches using the given conversion factors, yielding approximately 196,850 inches. Therefore, the answer is option (a) 196,850 inches.
Explanation:
To find out how many inches are in a 5k race, we need to perform a few conversions. A 5k race is 5 kilometers long, and to convert this to inches, we start by converting kilometers to meters, then meters to centimeters, and finally centimeters to inches, using the given conversion factors.
First, convert kilometers to meters.
5 km = 5 × 1000 m = 5000 m
Next, convert meters to centimeters.
5000 m = 5000 × 100 cm = 500000 cm
Finally, convert centimeters to inches.
500000 cm × (1 inch / 2.54 cm) = 196850 inches approximately.
