# To find E ( 2000 ) and E ( 15 , 000 ) . ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

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

#### Solutions

Chapter 2, Problem 8RE

a.

To determine

## To find E(2000) and E(15,000).

Expert Solution

The answer is E(2000)=460 and E(15,000)=850.

### Explanation of Solution

Given:

The expression E(x) is given. E(x)=400+0.03x .

Concept Used:

The concept of functions is used.

Calculation:

The expression of E is E(x)=400+0.03x

To find E (2000), put x=2000 in the above expression.

E(2000)=400+0.03(2000)E(2000)=400+60E(2000)=460

To find E (15000), put x=15000 in the above expression.

E(15000)=400+0.03(15000)E(15000)=400+450E(15000)=850

Conclusion:

Hence, the answer is E(2000)=460 and E(15,000)=850.

b.

To determine

### To write what the answers in part (a) represent.

Expert Solution

The E (2000) in the above part represent her earning for the week if she sells 2000 dollars’ worth of goods.

The E (15000) in the above part represent her earning for the week if she sells 15000 dollars’ worth of goods.

### Explanation of Solution

Given:

The expression E(x)=400+0.03x is given.

Concept Used:

The concept of functions is used.

The expression E(x)=400+0.03x represent her earning for the week if she sells x dollars’ worth of goods.

Conclusion:

The E (2000) in the above part represent her earning for the week if she sells 2000 dollars’ worth of goods.

The E (15000) in the above part represent her earning for the week if she sells 15000 dollars’ worth of goods.

c.

To determine

### To find out E (0).

Expert Solution

The E (0) = 400 which represents fixed cost.

### Explanation of Solution

Given:

The expression E(x)=400+0.03x is given.

Concept Used:

The concept of functions is used.

Calculation:

To calculate E(0), put x=0,

E(0)=400+0.03(0)

E(0)=400

Conclusion:

So, E (0) = 400 which represents fixed cost.

d.

To determine

Expert Solution

### Explanation of Solution

Given:

The expression E(x)=400+0.03x is given.

Concept Used:

The concept of percentage and functions is used.

Calculation:

To calculate percentage multiply the coefficient of x by 100,

Percentage=100×0.03Percentage=3

Conclusion:

So, the answer is 3 percent.

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