SOLUTION: Many income tax systems are calculated using a tiered method. Under a certain a tax law, the first $100 000 of earnings are subject to 35% tax; earnings greater than $100 000 and u

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Question 1134895: Many income tax systems are calculated using a tiered method. Under a certain a tax law, the first $100 000 of earnings are subject to 35% tax; earnings greater than $100 000 and up to $500 000 are subject to a 45% tax. Any earnings greater than $500 000 are taxed at 55%. Write a piecewise function that models this situation.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the piece-wise function could be written something like this. 




f(x) = {.35 * 100,000 + .45 * 400,000 + .55 * (x - 500,000) if x > 500,000.
       {.35 * 100,000 + .45 * (x - 100,000) if 100,000 < x <= 500,000.
       {.35 * x if 0 < x <= 100,000


f(x) is the tax.
x is the income.

here's a reference on how to set up a piece-wise function.

https://www.mathsisfun.com/sets/functions-piecewise.html