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 is pedaling at a rate of 1 revolution per second 14 in 4 in 2 in a Find the speed of the bicycle in feet per second and miles per hour ft sec mph b Use your result from part a to write a function for the distance d in miles a cyclist travels in terms of the number n of revolutions of the pedal sprocket d c Write a function for the distance d in miles a cyclist travels in terms of time t in seconds Compare this function with the function from part b