The radii of the pedal sprocket, the wheel sprocket, and the wheel of the bicycle in the figure are 4inches, 2inches, and 14inches, respectively. A cyclist pedals at a rate of 1revolution 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 write a function for the distance d (in miles) a cyclist travels in terms of the number n of revolutions of the pedal sprocket.
(c) Write 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).
(d) Classify the types of functions you found in parts (b) and (c). Explain.

Transcribed Image Text:

14 in. 4 in. 2 in.