Which answer describes the simpler problems that could be used to solve this story problem?

tammy paid a total of $47.67 for 3 pairs of shorts and a t-shirt. each pair of shorts cost the same amount. the t-shirt cost $16.25. how much did one pair of shorts cost?

a.
add the cost of the shorts and the cost of the t-shirt. divide the sum by 3.

b.
multiply the total cost by 3. add the cost of the t-shirt.

c.
subtract the cost of the t-shirt from the total cost. divide that answer by 3.

d.
divide the total cost by 3. subtract the cost of the t-shirt.

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