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Question
Westside Energy charges its electric customers a base rate of $6.00 per month, plus 15€ per kilowatt-hour (kWh) for the first 300 kWh used and
2€ 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.)
E(x) =
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(b) Graph the function E for 0 sxs 600.
E
60
50
L
40
30
20
10
E
60p
50
40
30
20
10
if 0 sxs 300
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if 300 < x
100
200
X
300 400 500 600
100 200 300 400 500 600
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E
100
80
60
40
20
X
100 200 300 400 500 600
E
60
50
40
V
30
20
10
3
100 200 300 400 500 600
Fig: 1
