Final answer:
The bicycle wheel makes approximately 6.12 revolutions during a ride of 500in.
Step-by-step explanation:
To find the number of revolutions the bicycle wheel makes during a ride of 500in, we first need to find the circumference of the wheel. The circumference of a circle can be found using the formula: circumference = 2 * pi * radius. Since the diameter of the wheel is 26in, the radius is half of the diameter, which is 13in. Therefore, the circumference of the wheel is approximately 2 * 3.14 * 13 = 81.64in.
Next, we can use the formula: number of revolutions = distance / circumference. The distance is given as 500in. Plugging in the values, we have: number of revolutions = 500 / 81.64. Calculating this, the number of revolutions is approximately 6.12.
Therefore, the answer is A.) 6.12.