Outsourcing of Jobs

Question

The cumulative number of jobs outsourced overseas by U.S.-based multinational companies in year t from 2005 (t = 0) through 2009 is approximated by:

N(t) = −0.05(t + 1.1)^2.2 + 0.7t + 0.9    (0 ≤ t ≤ 4)

where N(t) is measured in millions. How fast was the number of U.S. jobs that were outsourced changing in 2006 (t = 1)? (Round your answers to the nearest whole number.)

 _______jobs per year

Answer 1

Find derivative N'(t) and then N'(1)

N'(t)=2.2(-0.05)(t+1.1)^(1.2)+0.7=-0.11(t+1.1)^1.2+0.7

N'(1)=-0.11(1+1.1)^1.2+0.7=-0.9678 ~-1

In 2006 US jobs that were outsourced changed by 1 mil per year