swerve wrote:Ben is driving on the highway at x miles per hour. (One mile equals 5,280 feet.) Ben's tires have a circumference of y feet. Which of the following expressions gives the number of revolutions each wheel turns in one hour?
A. 5,280(x/y)
B. 5,280(y/x)
C. 5,280(xy)
D. 5,280/(xy)
E. (xy)/5,280
Note:
One revolution = one CIRCUMFERENCE.
Let x = 2 miles per hour, implying that the distance traveled in 1 hour = 2*5280 = 10560 feet.
Let y = 10 feet.
Since the total distance traveled in 1 hour = 10560 feet, and each circumference = 10 feet, the number of revolutions in 1 hour = 10560/10 = 1056.
Thus, the correct answer must yield 1056 when x=2 and y=10.
Only
A works:
(5280)(2/10) = 1056.
The correct answer is
A.
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