SOLUTION: The following is a table of theyears of experience of university teachers and their corresponding salary in thousands of dollars. 0-----58,000 5-----68,000 10----78,000 a.

Question 551978: The following is a table of theyears of experience of university teachers and their corresponding salary in thousands of dollars.
0-----58,000
5-----68,000
10----78,000
a. give the linear function S(t) that gives the annual salary in thousands of dollars for t years of experience.
b.Predict the average salary for a teacher with 15 years experience.
(I believe it is 82,000, but don't know how to show the work)
c. Find the years of experience for a teacher that is paid $84,000.
(I believe it is 12.5 but don't know how to show the work)

Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
a. S(t) = 2000t + 58000

b. Just continue the pattern (or replace t with 15):

0-----58,000
5-----68,000
10----78,000

15----88,000

c. Set S(t) equal to 84000 and solve.

84000 = 2000t + 58000

26000 = 2000t

t = 13
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