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...
icon
Related questions
Question

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.

Expert Solution
steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

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!

Solution
Bartleby Expert
SEE SOLUTION
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning