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29 May, 20:09

A gas company has the following rate schedule for natural gas usage in single-family residences:

Monthly service charge $8.80

Per therm service charge

1st 25 therms $0.6686/therm

Over 25 therms $0.85870/therm

What is the charge for using 25 therms in one month?

What is the charge for using 45 therms in one month?

Construct a function that gives the monthly charge C for x therms of gas.

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  1. 29 May, 20:20
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    monthly service charge is flat. you have to pay it no matter how many therms you use.

    since you've used only 25 therms, they'll charge you $0.6686/therm

    so, total charge for using 25 therms in one month

    = 8.8 + 25*0.6686=16.715+8.8 = 25.52

    What is the charge for using 45 therms in one month?

    45 = 25 + 20

    so for first 25 therms they'll charge u. 6686/therm, and rest of the 20 they'll charge u 0.85870/therm

    8.8 + 25*.6686 + 20*.85870

    25.52+17.174 = 42.694
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