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Solve the Problem f(x)=11.1x+215\mathrm{f}(\mathrm{x})=11.1 \mathrm{x}+215 , Where x\mathrm{x} Represents the Number of Years After 1995

Question 25

Multiple Choice

Solve the problem.
-The number of male lawyers, in thousands, in a certain country in a particular year can be approximated by the function f(x) =11.1x+215\mathrm{f}(\mathrm{x}) =11.1 \mathrm{x}+215 , where x\mathrm{x} represents the number of years after 1995. The number of female lawyers, in thousands, in a certain country in a particular year can be approximated by the function g(x) =10.1x+143\mathrm{g}(\mathrm{x}) =10.1 \mathrm{x}+143 , where again x\mathrm{x} represents the number of years after 1995.
(i) Find (f+g) (x) (f+g) (x) . Explain, in your own words, what this function represents.
(ii) Find (f+g) (45) (f+g) (45) . Explain, in your own words, what this number represents.


A) (i) (f+g) (x) =154.1x+225.1(\mathrm{f}+\mathrm{g}) (\mathrm{x}) =154.1 \mathrm{x}+225.1 ; this is the total number of lawyers, in thousands, in a certain country x years after 1995 .
(ii) 7159.6; there will be 7,159,600 lawyers in a certain country in the year 2040.
B) (i) (f+g) (x) =379.2x(\mathrm{f}+\mathrm{g}) (\mathrm{x}) =379.2 \mathrm{x} ; this is the total number of lawyers, in thousands, in a certain country x\mathrm{x} years after 1995.
(ii) 17,064; there will be 17,064,000 lawyers in a certain country in the year 2040.
C) (i) (f+g) (x) =21.2x+358(\mathrm{f}+\mathrm{g}) (\mathrm{x}) =21.2 \mathrm{x}+358 ; this is the total number of lawyers, in thousands, in a œrtain country x years after 1995.
(ii) 1312; there will be 1,312,000 lawyers in a certain country in theyear 2040.
D) (i) (f+g) (x) =226.1x+153.1(\mathrm{f}+\mathrm{g}) (\mathrm{x}) =226.1 \mathrm{x}+153.1 ; this is the total number of lawyers, in thousands, in a certain country x years after 1995 .
(ii) 10,327.6; there will be 10,327,600 lawyers in a certain country in the year 2040.

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