The consumption of tungsten (in metric tons) in a country is given approximately by p(t)=13812 +1,080t+14,915, where t is time in years and t=0 corresponds to 2010.
(A) Use the four-step process to find p'(t).
(B) Find the annual consumption in 2030 and the instantaneous rate of change of consumption in 2030, and write a brief verbal interpretation of these results.
(A) p'(t) =