Question

many income tax systems are calculated using a tiered method. Under certain tax law, the first $100 000 of earning are subject to a 35% tax, earnings greater than $100 000 and up to $500 000 are subjects to a 45% tax. Any earnings greater than $500 000 are taxed at 55%. Write a piecewise function that models this situation. :D

Answer 1

Tax = 0.35 * Earnings (Earnings < $100,000)
Tax = 0.35 * $100,000 + 0.45 * (Earnings - $100,000) ($100,000 < Earnings < $500,000)
Tax = 0.35 * $100,000 + 0.45 * $400,000 + 0.55 * (Earnings - $500,000) (Earnings > $500,000)

Answer 2

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Answer 3

That is the stepwise equation. Tax depends on earnings ranges. Three possible ranges, and so you get three equations.