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NAME: Math 103L: Exercise on Functions ... - Bruce E. Shapiro

NAME: Math 103L: Exercise on Functions ... - Bruce E. Shapiro

NAME: Math 103L: Exercise on Functions ... - Bruce E. Shapiro

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Piecewise linear functi<strong>on</strong>s10. The Trussville Utiliities uses the rates shown in the table below to compute the m<strong>on</strong>thlycost, C(x), of natural gas for residential customers. Usage, x, is measure in hundredcubic feet (HCF) of natural gas.Base charge $8.00First 1000 CCFOver 1000CCF$0.04 per HCF$0.07 per HCFa. Sum Find the charge for using 250 HCF.b. Sum Find the charge for using 1200 HCF.c. Sum Find an expressi<strong>on</strong> for the cost functi<strong>on</strong> C(x) for usage under 1000 CCF.d. Sum Find an expressi<strong>on</strong> for the cost functi<strong>on</strong> C(x) for usage over 1000 CCF.7

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