# The value of function T ( x ) at given income.

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

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

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.

### Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!