Final answer:
To calculate the running speed of the student athlete in mph, first convert the 50-yard distance to miles and the 7.3-second run time to hours, then compute the speed as distance divided by time. The result is a speed of 6.16 mph.
Step-by-step explanation:
The question asks to calculate the student athlete's running speed in miles per hour (mph) based on a 50-yard dash completed in 7.3 seconds. To solve this, first convert the distance from yards to miles, and time from seconds to hours.
There are 1760 yards in a mile and 3600 seconds in an hour. So:
- 50 yards = 50 / 1760 miles
- 7.3 seconds = 7.3 / 3600 hours
Now, calculate the speed in mph by dividing the distance in miles by the time in hours:
Speed = (50 / 1760) miles / (7.3 / 3600) hours
Speed = (50 * 3600) / (7.3 * 1760) mph
Speed = 6.16 mph
Therefore, the student athlete ran at a speed of 6.16 mph, which is the answer choice (a).