Question

carey was riding a motorcycle with wheels 30 inches in diameter. during 30 seconds of her ride, her wheels made exactly 500 revolutions. which of the following provides the best estimate for the distance carey traveled, in feet, for those 30 seconds? 1,250π 2,500π 3,250π 5,000π

Explanation:

Step1: Calculate the circumference of the wheel

The formula for the circumference of a circle is \(C = \pi d\). Given \(d = 30\) inches, so \(C=\pi\times30 = 30\pi\) inches.

Step2: Calculate the total distance in inches

Since the wheel made 500 revolutions, the total distance in inches is \(500\times C=500\times30\pi = 15000\pi\) inches.

Step3: Convert inches to feet

We know that 1 foot = 12 inches. So the distance in feet is \(\frac{15000\pi}{12}=1250\pi\) feet.

Answer:

A. \(1,250\pi\)