CHAPTER ONE Solutions for Section 1.1 1. (a) The story in (a) matches Graph (IV), in which the person forgot her books and had to return home. (b) The story in (b) matches Graph (II), the fat tire story. Note the long period of time during which the distance from home did not change (the horizontal part). (c) The story in (c) matches Graph (III), in which the person started calmly but sped up later. The frst graph (I) does not match any of the given stories. In this picture, the person keeps going away from home, but his speed decreases as time passes. So a story for this might be: I started walking to school at a good pace, but since I stayed up all night studying calculus, I got more and more tired the farther I walked. 2. The height is going down as time goes on. A possible graph is shown in Figure 1.1. The graph is decreasing. height time Figure 1.1 3. The amount of carbon dioxide is going up as time goes on. A possible graph is shown in Figure 1.2. The graph is increasing. CO2 time