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.

Hours Spent Hiking
0.5
1
1.5
2
Yards from the top
330
270
210
150

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?

Our star pitcher, foster enlight, can throw a pitch so fast that it gets to the catcher’s mitt before it leaves foster’s fingers! if the team wins a game then the probability that foster was pitching is 0.8 but only if foster had at least one day’s rest since his last pitching assignment. if foster does not have a day off and the team still wins, the probability that foster was pitching drops by half of what it was on the previous day. if the team wins three games in succession from the toronto tachyons and foster pitched in game #2, what is the probability that he pitched in one or more of the other games? (assume that foster did not pitch on the day before the first game of this three game series.)