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Question
multiple choice 1 point aniah is riding her bike down the street. if the radius of his bike wheels is 2.5 feet and her wheels make 60 revolutions per minute, how far will she travel in 15 minutes? 9000π feet 2250π feet 4500π feet 3000π feet
Step1: Find the circumference of the bike wheel
The formula for the circumference of a circle is \( C = 2\pi r \), where \( r \) is the radius. Given \( r = 2.5 \) feet, we substitute:
\( C = 2\pi(2.5)= 5\pi \) feet.
Step2: Find the distance traveled per minute
The wheel makes 60 revolutions per minute, and each revolution is the circumference. So distance per minute is \( 60\times5\pi = 300\pi \) feet.
Step3: Find the distance traveled in 15 minutes
Multiply the distance per minute by 15: \( 300\pi\times15 = 4500\pi \) feet.
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4500π feet (corresponding to the option "4500π feet")