A football team lost 9 yards on its first play. On the next two plays they gained 3 yards and then 6 yards. A. What expression can be written to represent how many yards the football team is from where it started? Explain your
reasoning.
B. How many yards is the football team from where it started?
C. Suppose that, instead, the football team had gained 3 and 6 yards on its first two plays, and then lost 9 yards on its third
play. Would the team's position on the field have been any different from what it was in part A? Why or why not?

If p(x) is the total value of the production when there are x workers in a plant, then the average productivity of the workforce at the plant is a(x) = p(x) x . (a) find a'(x). a'(x) = xp'(x) − p(x) x a'(x) = xp'(x) − p(x) x2 a'(x) = p'(x) − p(x) x a'(x) = xp'(x) − p'(x) x2 a'(x) = p'(x) − xp(x) x2 why does the company want to hire more workers if a'(x) > 0? a'(x) > 0 ⇒ a(x) is ; that is, the average productivity as the size of the workforce increases. (b) if p'(x) is greater than the average productivity, which of the following must be true? p'(x) − xp(x) > 0 p'(x) − xp(x) < 0 xp'(x) − p'(x) > 0 xp'(x) − p(x) < 0 xp'(x) − p(x) > 0