1. The problem asks which graph best represents the population growth of Brennan's city over time in the game Megalopolis Madness. 2. The population starts small, grows quickly, then growth rate slows and speeds up a few times, eventually reaching a large size. 3. This means the population graph should show an overall increasing trend with some fluctuations (speeding up and slowing down), but no large declines that reduce population below previous levels. 4. Graph 1 shows sharp ups and downs with population rising and falling multiple times, which is unlikely for a growing city population. 5. Graph 2 shows a gradual increase with some curvature and no declines, representing steady growth without fluctuations. 6. Graph 3 shows a generally increasing population with some small dips, indicating growth with minor slowdowns or setbacks. 7. Graph 4 shows an initial drop, then multiple bumps up and down, which contradicts the starting small and then growing pattern. 8. Since the problem states the growth rate slows and speeds up a few times but the city eventually grows large, Graph 3 best fits this description. 9. Therefore, the correct graph is Graph 3 (bottom-left), showing mostly upward trend with some small dips.