Michael and his friend Justine enjoy hiking. Michael started up a mountain before Justine, so he’s closer to the top when Justine starts hiking. Michael is 320 yards from the top and hikes 80 yards per hour. Justine is 390 yards from the top. But she doesn’t know how many yards she hikes per hour. So every half hour, she writes down the yards left to hike in a table, as shown here. Part A Start by finding points for Michael’s function. What are two points you could use to graph Michael’s function for the yards left to hike in terms of the time he’s spent hiking since Justine started?

Part B What are two points that represent Justine’s function for the yards left to hike in terms of the hours she’s spent hiking?

Part C Could you graph the two functions from the information in the two previous parts? Explain your answer.