Final answer:
To determine the distance a bike with 22-inch wheels travels in one revolution, the circumference of the wheel is calculated using the formula C = π * d. The correct answer is a. 22π inches per revolution.
Step-by-step explanation:
The question asks to find the number of inches a bike with 22-inch wheels (diameter) travels during each revolution, assuming it makes 150 revolutions per minute. To solve this problem, we need to use the relationship between the diameter of the wheel and the circumference.
The formula for the circumference of a circle (which is the distance the bike will travel in one revolution) is C = π * d, where C is the circumference and d is the diameter of the wheel.
To find the answer, we substitute the diameter of the wheel (22 inches) into the formula: C = π * 22 inches. Therefore, during each revolution, the bike travels 22π inches. The correct answer is option (a) 22π inches.