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 20 minutes or less.

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.

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(B) Graph F(x) for 0 < x ≤ 40.

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(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.

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(B) Graph G(x) for 0 < x ≤ 40.

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(C) Find , whichever exist.