The following table gives the number of jobs (in millions) in California for the

Question

The following table gives the number of jobs (in millions) in California for the years 1990-199 Let J(t) be the number of jobs (in millions) at year t, where t -0 corresponds to 1990. Year 1990 1991 1992 1993 1994 1995 1996 1997 1998 Jobs 10.6 11.4 11.9 12.2 12.3 12.2 12 11.4 10.7 a) 12 points) Evaluate J(2) and interpret your answer in terms of the problem. b) (2 points) Solve J(t) = 12.2 and interpret your answer in terms of the problem. c) (3 points) Evaluate and interpret your answer in terms of the problem.

Explanation / Answer

a)

J(2)

Since t= 0 corresponds to year 1990, hence t =2corresponds to year 1992. From the given table

J(2) is 11.9

Hence number of jobs in the California in 1992 is 11.9 millions.

b)

J(t) = 12.2

From the given table, in year 1995m number of jobs is 12.2 million.

Since t= 0 corresponds to year 1990, hence t =5 corresponds to year 1995.

hence

J(5) = 12.2

Thus number of jobs in the California 12.2 million is in year 1995.

c)

J(3) -J(1)/(3-1) = (12.2 -11.4)/2 =0.4

hence number of jobs in the California is increasing at rate of 0.4 million per year between year 1991 to 1993.

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