If a driver attempts to stop while traveling at x miles per hour on dry, level pavement, the reaction distance is r(x) = 11/5x and the braking distance is b(x) = 1/11x², where both distances are in feet. 

(a) Write a formula for a functions in terms of r(x) and b(x) that gives the stopping distance when driving at x miles per hour. Evaluate s(55). 

(b) Graph r, b, ands on the same axes. Explain how the graph of s can be found using the graphs of r and b. 

(c) Make tables for r(x) and b(x) at x = 11, 22, 33, 44, and 55. Then use these tables to construct a table for s (x).