Westside Energy charges its electric customers a base rate of $8.00 per month, plus 11 per kilowatt-hour (kWh) for the first 300 kWh used and 5¢ per kWh for all usage over 300kWh. 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.) E(x) = if 0 ≤ x ≤ 300 if 300 < x (b) Graph the function Efor 0≦x≤ 600. E 60 40 20 E 50 40 30 30 20 20 10 10 100 200 300 400 500 600 X 100 200 300 400 500 600 E 50 40 30 20 10 E 50 40 30 20 10 X 100 200 300 400 500 600 X 100 200 300 400 500 600

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 9E
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Westside Energy charges its electric customers a base rate of $8.00 per month, plus 11 per kilowatt-hour (kWh) for the first 300 kWh used and 5¢ per kWh for all usage over 300kWh. 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.)
E(x)
=
if 0 ≤ x ≤ 300
if 300 < x
(b) Graph the function Efor 0≦x≤ 600.
E
60
40
20
E
50
40
30
30
20
20
10
10
100
200 300
400
500
600
X
100
200
300
400
500
600
E
50
40
30
20
10
E
50
40
30
20
10
X
100
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300 400
500
600
X
100
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300
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600
Transcribed Image Text:Westside Energy charges its electric customers a base rate of $8.00 per month, plus 11 per kilowatt-hour (kWh) for the first 300 kWh used and 5¢ per kWh for all usage over 300kWh. 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.) E(x) = if 0 ≤ x ≤ 300 if 300 < x (b) Graph the function Efor 0≦x≤ 600. E 60 40 20 E 50 40 30 30 20 20 10 10 100 200 300 400 500 600 X 100 200 300 400 500 600 E 50 40 30 20 10 E 50 40 30 20 10 X 100 200 300 400 500 600 X 100 200 300 400 500 600
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