Chapter 4 - An Introduction to Functions - Pull it All Together - Page 280: Task 1E

The function rule for distance vs time graph is d(t)=30t The function rule for speed vs time graph is s(t)=30

The function rule for distance vs time graph is d(t)=30t because the distance is increasing by 30 ft every 1 second as the bike is travelling at 30ft/sec which means that 30 is the slope of the graph as it indicates that the graph is rising 30 ft and moving across 1 sec. The function rule for speed vs time graph is s(t)=30 because during the motion the speed is constant at 30ft/sec and not changing. Therefore, it is a horizontal line.