Assume you are going to drive x miles in four day, and we set up the estimated cost functons from Hertz, H(x), and Avis, A(x). H(x) = 0.3 x + 45*4 = 0.3 x + 180 A(x) = 0.25 x + 50*4 = 0.25x + 200. (Can you draw these two lines?) Next we solve for the break even point by setting H(x) = A(x). From 0.3 x + 180 = 0.25x + 200, we obtain 0.05x = 20, or x = 400 (miles) By observing from the graphs of H(x) and A(x), we conclude that (i) If you drive less than 400 miles in four days, then it is better off to rent from Hertz. (ii)If you drive more than 400 miles in four days, then it is better off to rent from A(x).