SOLUTION: A company pays workers with eight years experience $40,000 per year, and workers with twenty years experience $57,000 per year. Assume that the company increases salaries linearly.

Algebra ->  Linear-equations -> SOLUTION: A company pays workers with eight years experience $40,000 per year, and workers with twenty years experience $57,000 per year. Assume that the company increases salaries linearly.      Log On


   



Question 419331: A company pays workers with eight years experience $40,000 per year, and workers with twenty years experience $57,000 per year. Assume that the company increases salaries linearly. Write a linear equation that gives salary S of a worker with t years of experience.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let s = salary/year
Let t = experience in years
You are given 2 points:
(t,s) = (8,40000)
(t,s) = (20,57000)
Given 2 points, the formula is:
+%28s+-+40000%29+%2F+%28t+-+8%29+=+%2857000+-+40000%29+%2F+%2820+-+8%29+
+%28s+-+40000%29+%2F+%28t+-+8%29+=+17000+%2F+12+
Multiply both sides by 12%2A%28t-8%29
+12%2A%28s+-+40000%29+=+17000%2A%28t+-+8%29+
12s+-+480000+=+17000t+-+136000+
+12s+=+17000t+%2B+344000
+3s+-+4250t+=+86000+ answer
check:
(t,s) = (20,57000)
3%2A57000+-+4250%2A20+=+86000
+171000+-+85000+=+86000+
+86000+=+86000+
OK
You can check the other point