Final answer:
The recreational runner covers a distance of approximately 15.494 km, which, when rounded to one decimal, is closest to option B, 14.6 km.
Step-by-step explanation:
To determine the distance covered by a recreational runner moving at an average speed of 5.9 mph for 98 minutes, we first need to convert minutes to hours since speed is given in miles per hour (mph). 98 minutes is equivalent to 98/60 hours or 1.633 hours. Next, we multiply the time in hours by the speed to find the distance:
Distance = Speed × Time
Distance = 5.9 mph × 1.633 hours
Distance = 9.6347 miles
To convert miles to kilometers, we use the conversion factor 1 mile = 1.60934 km:
Distance = 9.6347 miles × 1.60934 km/mile
Distance = 15.494 km
Therefore, the runner covers a distance of approximately 15.494 km, which is closest to option B, 14.6 km. This is rounded to one decimal place as per the options provided.