Chapter 1.1, Problem 67E

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8th Edition

James Stewart

ISBN: 9781305270343

Textbook Problem

In a certain country, income tax is assessed as follows. There is no tax on income up to$10,000. Any income over $10,000 is taxed at a rate of 10%, up to an income of $20,000. Any income over $20,000 is taxed at 15%.

(a) Sketch the graph of the tax rate *R* as a function of the income *I.*

(b) How much tax is assessed on an income of $14,000? On $26,000?

(c) Sketch the graph of the total assessed tax *T as* a function of the income *I*.

(a)

To determine

**To sketch:** The graph of the tax rate *R* as a function of the income *I*.

Explanation

Let the amount of an income be $*x*.

According to the given data, the tax rate (*R*) is charged as follows.

If
*R*(%) is 0.

If
*R*(%) is 10%.

If
*R*(%) is 15%

(b)

To determine

**To find:** The tax payable for the income of $14,000 and $26,000.

(c)

To determine

**To sketch:** The graph of the total assessed tax (*T*) as a function of the income (*I*).

Sect-1.1 P-1ESect-1.1 P-2ESect-1.1 P-3ESect-1.1 P-4ESect-1.1 P-5ESect-1.1 P-7ESect-1.1 P-8ESect-1.1 P-9ESect-1.1 P-10ESect-1.1 P-11E

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