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$3$

$(4$pts$)8.$

In comparing the earning power of the job offers, one might be interested in the cumulative earnings, that is$,$ the sum total earnings for all the years worked in the chosen job. TABLE $3$ below gives cumulative earnings for both job offers for the given number of years worked. For example, when $t=8,$ the table gives $C_1(8)=508,000.$ That means, after working $8$ years in Job $1,$ the total earnings is $$508,000.$

Note that the last column gives a comparison of the cumulative earnings of both jobs for the same number of years worked by calculating the difference.

Complete the table below.

TABLE $3$

$\backslash$table$[[$Comparison of Cumulative Earnings$],[\backslash$table$[[$t$=$# of Years$],[$Worked$],[1]],\backslash$table$[[$C$\_(1)($t$)=$ Cumulative$],[$Earnings after t years$],[$on Job $1]],\backslash$table$[[$C$\_(2)($t$)=$ Cumulative$],[$Earnings after t years$],[$on Job $2]],\backslash$table$[[$Difference in Cumulative$],[$Earnings:$],[$C$\_(1)($t$)-$C$\_(2)($t$)]]],[$$$,60,000,$$$,45,000,$$$,15,000],[2,$$$,121,000,$$$,93,375,$$$,27,625],[3],[4],[5],[6],[7],[8,$$$,508,000,$$$,470,087,$$$,37,913],[9,$$$,576,000,$$$,550,343,$$$,25,657],[10,$$$,645,000,$$$,636,619,$$$,8,381],[11,$$$,715,000,$$$,729,365,$$$,(14,365)]]$

$(1$pts$)9$a$.$ The ordered pair $(2,62,000)$ occurs in the TABLE $1.$ Explain the meaning of this ordered pair in the context of the situation.

$(1$pts$)$ b$.$ The ordered pair $(2,27,625)$ occurs in the TABLE $3.$ Explain the meaning of this ordered pair in the context of the situation.

$(1$pts$)$ c$.$ The ordered pair $(2,93,375)$ occurs in the TABLE $3.$ Explain the meaning of this ordered pair in the context of the situation.