3. Taxi meters measure the distance traveled by counting the number of revolutions of an axle....

 

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3. Taxi meters measure the distance traveled by counting the number of revolutions of an axle. The meter is initialized by driving a known distance. A disreputable taxi driver tricks his customers into paying more per trip. He does this by slightly deflating his taxi's tires after the meter has been initialized, so that they have a smaller radius. This way, the tire will have a greater number of revolutions per trip, making each trip appear to be a greater number of miles. Develop an algorithm for computing what the deflated tire radius must be if the taxi driver would like a short x-mile taxi ride to appear to be a longer y-mile taxi ride. Inputs are the proper tire radius R and the distances x and y. 3. Taxi meters measure the distance traveled by counting the number of revolutions of an axle. The meter is initialized by driving a known distance. A disreputable taxi driver tricks his customers into paying more per trip. He does this by slightly deflating his taxi's tires after the meter has been initialized, so that they have a smaller radius. This way, the tire will have a greater number of revolutions per trip, making each trip appear to be a greater number of miles. Develop an algorithm for computing what the deflated tire radius must be if the taxi driver would like a short x-mile taxi ride to appear to be a longer y-mile taxi ride. Inputs are the proper tire radius R and the distances x and y.