Your friend's bank account balance y (in dollars) is represented by the equation y = 25x+ 350, where x is the number of months.
a. Graph the equation on scratch paper and describe the graph
in writing in the space provided. Include the general shape and
any intersections or intercepts.
b. You and your friend have the same account balance at 8
months. After 8 months your account balance is more than your
friend's. Write a linear equation that represents your account
balance.
c. Interpret the slope and y-intercept of the line that represents
your account balance.

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