Tuesday

July 29, 2014

July 29, 2014

Posted by **Austin** on Monday, September 28, 2009 at 10:12pm.

A utility company measures gas consumption by the hundred cubic feet, CCF. The company has a three-step rate schedule for gas customers. First, there is a minimum charge of $5.00 per month for up to 3 CCF of gas used. Then, for the next 6 CCF, the charge is $0.75 per CCF. Finally, after 9 CCF, the charge is $0.55 per CCF. Represent the cost of "g" CCF of gas if "g" is greater than 9. Please help...

- Algrebra -
**MathMate**, Tuesday, September 29, 2009 at 7:50amLet's summarize the question:

0 < g ≤ 3 : cost = 5

when g=3 : cost = 5

3 < g ≤ 9 : cost = 5 + 0.75*(g-3)

when g=9 : cost = 5 + 0.75*6 = 9.60

9 < g : cost = 9.60 + 0.55*(g-9)

Simplify the last expression:

For g≥9 CCF:

cost = 9.60 + 0.55(g-9)

=4.55 + 0.55g

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