1) The radii of the pedal sprocket, the wheel sprocket, and the wheel of the bicycle in the figure are 4 inches, 2 inches, and 14 inches, respectively. A cyclist pedals at a rate of 1 revolution per second.

a) Find the speed of the bicycle in feet per second and miles per hour.

b) Use your result from part (a) to come up with a function for the distance d (in miles) a cyclist travels in terms of the number n of revolutions of the pedal sprocket.

c) Come up with a function for the distance d (in miles) a cyclist travels in terms of the time t (in seconds). Compare this function with the function from part (b).