2 A group of friends is going to an amusement park over the weekend. The table below shows the total cost in relation to the number
of friends who are going to the park.
2.
No. of Friends
3
4
5
6
Total Cost
$40.00
$60.00
$80.00 $100.00 $120.00
What is the rate of change for the information in the table?
OA
$30.00 per person
ов.
$10.00 per person
OC.
$20.00 per person
OD. $40.00 per person
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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