1. The problem asks to compare the speed (miles per hour) of Space Explorer B to Space Explorer A. 2. Speed is calculated as the rate of change of miles with respect to hours, or slope $m = \frac{\Delta y}{\Delta x}$. 3. For Space Explorer B, use the points $(5,34000)$ and $(10,68000)$: $$m_B = \frac{68000 - 34000}{10 - 5} = \frac{34000}{5} = 6800 \text{ miles per hour}$$ 4. For Space Explorer A, use the table values. The miles increase by 3000 every 3 hours, so: $$m_A = \frac{9000 - 6000}{9 - 6} = \frac{3000}{3} = 1000 \text{ miles per hour}$$ 5. Compare the speeds: $$6800 \text{ miles per hour} > 1000 \text{ miles per hour}$$ 6. Therefore, Space Explorer B travels 6800 - 1000 = 5800 miles per hour more than Space Explorer A. Final answer: Space Explorer B travels 5800 miles per hour more than Space Explorer A.