1. A bike has wheels with radius 1.5 feet and a front sprocket with 36 teeth. a) If the rear sprocket has 16 teeth, how fast will I go in mph if I pedal at 80 RPM? b) Changing gears, the rear sprocket now has 12 teeth. How fast must I pedal in RPM to go 30 mph? c) I change gears once again so that the rear sprocket changes and pedal at 80 RPM. If I am now going 15.42 mph, how many teeth does the rear sprocket have?

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