Frank and fiona both sell frozen meals. the cost of frank's meals can be expressed with the equation y = 1.25x, where x is equal to the number of meals purchased and y is equal to the total purchase cost. the cost of fiona's frozen meals is shown on this graph: coordinate plane with x-axis labeled number of frozen meals and y-axis labeled costs in dollars. graph of a line contains the following points: (0, 0), (2, 3), and (4, 6) whose frozen meals are less expensive, frank's or fiona's? frank's meals are less expensive. fiona's meals are less expensive frank's meals are the same price as fiona's meals. it cannot be determined.

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