Westside Energy charges its electric customers a base rate of $7.00 per month, plus 14¢ per kilowatt-hour (kWh) for the first 300 kWh used and 6¢ per kWh for all usage over 300 kWh. Suppose a customer uses x kWh of electricity in one month. (a) Express the monthly cost E as a piecewise defined function of x. (Assume E is measured in dollars.) 7+ .14x if 0 x s 300 E(x) if 300

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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Westside Energy charges its electric customers a base rate of $7.00 per month, plus 14¢ per kilowatt-hour (kWh) for the first 300 kWh used and 6¢ per kWh for all usage over 300 kWh. Suppose a
customer uses x kWh of electricity in one month.
(a) Express the monthly cost E as a piecewise defined function of x. (Assume E is measured in dollars.)
7+ .14x
if 0 x s 300
E(x)
if 300<x
X
(b) Graph the function E for 0 s xs 600.
E
60
60
50
50
40
40
30
30
20
20
10
10
X
X
600
500
400
300
200
100
600
500
400
300
100
200
E
E
60
80
50
40
60
30
40
20
10
20
X
500 600
400
300
200
100
X
600
500
400
300
200
100
Transcribed Image Text:Westside Energy charges its electric customers a base rate of $7.00 per month, plus 14¢ per kilowatt-hour (kWh) for the first 300 kWh used and 6¢ per kWh for all usage over 300 kWh. Suppose a customer uses x kWh of electricity in one month. (a) Express the monthly cost E as a piecewise defined function of x. (Assume E is measured in dollars.) 7+ .14x if 0 x s 300 E(x) if 300<x X (b) Graph the function E for 0 s xs 600. E 60 60 50 50 40 40 30 30 20 20 10 10 X X 600 500 400 300 200 100 600 500 400 300 100 200 E E 60 80 50 40 60 30 40 20 10 20 X 500 600 400 300 200 100 X 600 500 400 300 200 100
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