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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 $5.00per 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.

Respuesta :

Answer:

[tex]\$(4.65 + 0.55g)[/tex]

Step-by-step explanation:

Let the number of hundred CCF of gas consumed by the customer =g

[tex]\text{When } 0 < g \leq 3\\ \text{Cost =} \$5\\\\\text{When } 3<g \leq 9 \\ \text{Cost =} 5 + 0.75(g-3)\\\\\text{When g=9} : \text{Cost =}5 + 0.75(9-3) \\=5 + 0.75(6)\\= \$9.60[/tex]

Therefore, when the hundred cubic feet, CCF of gas consumed is more than 9, the consumer pays for the first 9 and then pays for any subsequent CCF of gas at a rate of $0.55 per CCF

[tex]\text{When g}>9 : \text{Cost =} 9.60+0.55(x-9)[/tex]

[tex]=9.60+0.55g-4.95\\=\$(4.65 + 0.55g)[/tex]

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