According to a study conducted in 2003, the total number of U.S. jobs that are p

Question

According to a study conducted in 2003, the total number of U.S. jobs that are projected to leave the county by year t, where t = 0 corresponds to 2000, is represented by the following function where N(t) is measured in millions. N(t) = 0.0018425(t + 9)^2.5 (0 lessthanorequalto t lessthanorequalto 15) How fast the number of U.S jobs that are outsourced changing in 2008? How fast will the number of U.S. jobs that are outsourced be changing at the beginning of 2013 (t = 13)? (Round your answers to the nearest whole number). 2008 32286 jobs/year 2013 44328 jobs/year

Explanation / Answer

N(t) = 0.0018425 (t+9)2.5 , 0<= t<= 15

How fast was the number of U.S. jobs that are outsourced changing in 2008?

Rate of change of number of jobs obtained by taking derivative.

thus

N'(t) = 0.0018425 * 2.5 * (t+9)1.5

Since t=0 is 2000, Then t=8 will correspond to 2008,

putting t=8

N'(8) = 0.0018425 * 2.5 * (8+9)1.5

= 0.322864939 Million Jobs/Year

= 0.322864939 * 1000000 Jobs/Year

= 322864.939 Jobs/Year

= 322865 Jobs/Year

putting t=13

N'(13) = 0.0018425 * 2.5 * (13+9)1.5

= 0.475315007 Million Jobs / Year

=0.475315007 * 1000000 Jobs / Year

= 475315.0071 Jobs/Year

=475315 Jobs/Year

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