An electricity company charges its customers a fixed base charge of $8 a month, plus 12 cents per kilowatt-hour (kWh) for the first 500 kWh, 13 cents per kWh for the next 500 kWh, and 16 cents for all additional kWh. (a) Express the monthly cost E as a function of the amount x of electricity used. (b) Graph the function E for 0 ≤ x ≤ 2000. (c) Explain how your graph represents your function E.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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An electricity company charges its customers a fixed base charge of $8 a month, plus 12 cents
per kilowatt-hour (kWh) for the first 500 kWh, 13 cents per kWh for the next 500 kWh, and
16 cents for all additional kWh.

(a) Express the monthly cost E as a function of the amount x of electricity used.
(b) Graph the function E for 0 ≤ x ≤ 2000.
(c) Explain how your graph represents your function E.

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Thanks! What is the simplified verson of E(x)? It's very long and kind of confusing, I am not sure if it is the same answer I got. Thanks!

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