Question
Consider the following scenario: A city decides to collect sales taxes for small businesses in a new way. Each year, a business rounds its receipts
Consider the following scenario: A city decides to collect sales taxes for small businesses in a new way. Each year, a business rounds its receipts to the nearest10 thousanddollars. The business is taxed15thousanddollars on its first$50 thousandin sales, then35% of each increment of$10 thousandthereafter, up to$100 thousand.The amount taxed is given by the piecewise defined function
F(x) =
15, | x= 0, 10,, 50 | |
2.5+0.35x, | x= 60, 70,, 100 |
wherexrepresents the receipts for the business and
F(x)
represents the sales tax, both in thousands of dollars.Evaluate
F(20).
F(20) =
Interpret the result.The value
F(20)
is the ---Select--- total of the receipts for the business total sales tax for the business in thousands of dollars when the ---Select--- total of the receipts for the business total sales tax for the business is thousand dollars.
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