To find the swimmer's average speed in yards per second, we can use the formula:
average speed = distance ÷ time
In this case, the distance is 50 yards and the time is 24.76 seconds.
Substituting these values into the formula:
average speed = 50 yards ÷ 24.76 seconds
Calculating this division, we find that the average speed is approximately 2.02 yards per second.
Therefore, the swimmer's average speed, to the nearest hundredth of a yard per second, is 2.02 yards per second.