BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 2.1, Problem 76E

(a)

To determine

To find: The value of function T(x) at given income.

Expert Solution

Answer to Problem 76E

Income tax at T(5000) is zero, at T(12,000) is 960 , at T(25,000) is 5350 .

Explanation of Solution

The given function is,

T(x)={0if0x10,0000.08if10,000<x20,0001600+0.15xif20,000<x

Function for income 5,000 is,

T(x)=0

So, income tax at T(5000) is zero.

Function for income 12,000 is,

T(x)=0.08x

Substitute 12,000 for x in the above function to find the value of T(12,000) ,

T(x)=0.08×12,000=960

So, income tax at T(12,000) is 960

Function for income 20,000 is,

T(x)=1600+0.15x

Substitute 25,000 for x in the above function to find the value of T(25,000) ,

T(25,000)=1600+0.15×25000=1600+3750=5350

So, income tax at T(25,000) is 5350 .

Hence, income tax at T(5000) is zero, at T(12,000) is 960 , at T(25,000) is 5350 .

(b)

To determine

To Explain: Answer represented in part (a).

Expert Solution

Answer to Problem 76E

Income tax is increasing simultaneously with income.

Explanation of Solution

From part (a),

Income tax at T(5000) is zero, at T(12,000) is 960 , at T(25,000) is 5350 .

Income tax is increasing simultaneously with income.

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