Problem

Telephone rates. Refer to Problems 1 and 2. Write a brief verbal comparison of the two ser...

Telephone rates. Refer to Problems 1 and 2. Write a brief verbal comparison of the two services described for calls lasting more than 20 minutes.

A company sells custom embroidered apparel and promotional products. Table 1 shows the volume discounts offered by the company, where x is the volume of a purchase in dollars. Problems 95 and 96 deal with two different interpretations of this discount method.

Table 1 Volume Discount (excluding tax)

Volume ($x)	Discount Amount
$300 ≤ x < $1,000	3%
$1,000 ≤ x < $3,000	5%
$3,000 ≤ x < $5,000	7%
$5,000 ≤ x	10%

Problem 1

Telephone rates. A long-distance telephone service charges $0.99 for the first 20 minutes or less of a call and $0.07 per minute thereafter.

(A) Write a piecewise definition of the charge F(x) for a long-distance call lasting x minutes.
(B) Graph F(x) for 0 < x ≤ 40.
(C) Find , whichever exist.

Problem 2

Telephone rates. A second long-distance telephone service charges $0.09 per minute for calls lasting 10 minutes or more and $0.18 per minute for calls lasting less than 10 minutes.

(A) Write a piecewise definition of the charge G(x) for a long-distance call lasting x minutes.
(B) Graph G(x) for 0 < x ≤ 40.
(C) Find , whichever exist.