Chapter 1.1, Problem 66E

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8th Edition

James Stewart

ISBN: 9781305270343

Textbook Problem

An electricity company charges its customers a base rate of $10 a month, plus 6 cents per kilowatt-hour (kWh) for the first 1200 kWh and 7 cents per kWh for all usage over 1200 kWh. Express the monthly cost *E* as a function of the amount *x* of electricity used. Then graph the function *E* for 0 ≤ *x* ≤ 2000.

To determine

**To find:** The function of the monthly cost (*E*) in terms of an electricity used amount *x* and then sketch the graph of *E*(*x*) for the interval

Explanation

Let the amount of electricity used be *x*. It is given that there is a base rate of $10 a month, plus 6 cents/kWh for the first 1200kWh. That is, the usage of electricity is less than or equal to 1200kWh, there is no change in the charge.

Therefore, if
*E*(*x*) is

There will be an additional charge of 7 cents/kWh other excluding

Therefore, if

Sect-1.1 P-1ESect-1.1 P-2ESect-1.1 P-3ESect-1.1 P-4ESect-1.1 P-5ESect-1.1 P-7ESect-1.1 P-8ESect-1.1 P-9ESect-1.1 P-10ESect-1.1 P-11E

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