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Concept explainers
(a)
To find: the charge for using 50 therms in a month.
(a)
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Answer to Problem 49AYU
The charge for using therms in one month is $52.
Explanation of Solution
Given information:
Monthly service charge $15.95.
Per therm service charge
1st 50 therms $0.33606/therm
Over 50 therms $0.10580/therm
Gas charge $0.3940/therm
Calculation:
For using 50 therms in a month, the rate of service charge $0.33606/therm applied.
In addition monthly service charge $15.95 and gas charge $0.3940/therm also applied.
Monthly service charge = $15.95
Gas charge
Therm service charge
Total charge
Therefore, the charge for using therms in one month is $52.45300.
(b)
To find: the charge for using 500 therms in a month.
(b)
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Answer to Problem 49AYU
The charge for using therms in one month is $277.363.
Explanation of Solution
Given information:
Monthly service charge $15.95.
Per therm service charge
1st 50 therms $0.33606/therm
Over 50 therms $0.10580/therm
Gas charge $0.3940/therm
Calculation:
For using 500 therms in a month, the rate of service charge $0.33606/therm applied for initial 50 therms and the rate of the service charge $0.10580/therm applied for 450 therms in exceed of 50 therms.
In addition monthly service charge $15.95 and gas charge $0.3940/therm also applied.
Monthly service charge = $15.95
Gas charge
Therm service charge
Total charge
Therefore, the charge for using therms in one month is $277.363.
(c)
To develop: a model that relates the monthly charge
(c)

Answer to Problem 49AYU
Explanation of Solution
Given information:
Monthly service charge $15.95.
Per therm service charge
1st 50 therms $0.33606/therm
Over 50 therms $0.10580/therm
Gas charge $0.3940/therm
Calculation:
For using
In addition monthly service charge $15.95 and gas charge $0.3940/therm also applied.
Monthly service charge = $15.95
Gas charge
Therm service charge
When
Total charge
When
Total charge
Therefore, the change in one month for using
(d)
To sketch: the graph of the function which is found in part (c).
(d)
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Explanation of Solution
Given information:
Monthly service charge $15.95.
Per therm service charge
1st 50 therms $0.33606/therm
Over 50 therms $0.10580/therm
Gas charge $0.3940/therm
Calculation:
The graph of the function
Chapter 2 Solutions
Precalculus
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