Chapter 2.4, Problem 59AYU

To determine

To find: a) Develop a model c , the first-class postage charged, for a flat weighing x ounces.

Answer to Problem 59AYU

Solution:

a) The function f can be defined as

  

Explanation of Solution

Given:

It is given that the U.S. Postal Service charged $0.98 postage for first-class mail retail flats weighing up to 1 ounce, plus $0.22 for each additional ounce up to 13 ounces.

1. Let the first-class postage charged, for a flat weighing 13 ounces.

Upto 1 ounce, $0.98.

1-2 ounce 0.98+0.22 = $1.2

2-3 ounce 1.2+0.22 = $1.42

3-4 ounce 1.42+0.22 = $1.64

4-5 ounce 1.64+0.22 = $1.86

5-6 ounce 1.86+0.22 = $2.08

6-7 ounce 2.08+0.22 = $2.3

7-8 ounce 2.3+0.22 = $2.52

8-9 ounce 2.52+0.22 = $2.74

9-10 ounce 2.74+0.22 = $2.96

10-11 ounce 2.96+0.22 = $3.18

11-12 ounce 3.18+0.22 = $3.4

12-13 ounce 3.4+0.22 = $3.62

First-class rates do not apply to flats weighing more than 13 ounces.

The function can be defined as,

  

To determine

To find: b) Graph of the function C .

Answer to Problem 59AYU

Solution:

b)

  

Explanation of Solution

Given:

It is given that the U.S. Postal Service charged $0.98 postage for first-class mail retail flats weighing up to 1 ounce, plus $0.22 for each additional ounce up to 13 ounces.

b)