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Section 5: 6. The Trussville Utilities uses the rates shown in the table below to compute the monthly cost, C(x), of natural gas for residential

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Section 5: 6. The Trussville Utilities uses the rates shown in the table below to compute the monthly cost, C(x), of natural gas for residential customers. Usage, x, is measure in cubic hundred feet (CCF) of natural gas. Base charge $6.00 First 800 CCF $0.05 per CCF Over 800 CCF $0.10 per CCF a. Find the charge for using 200 CCF. b. Find an expression for the cost function C(x) for usage under 800 CCF. c. Find an expression for the cost function C(x) for usage over 800 CCF. d. Write the symbolic form for the statement, \"the cost for using 1000 CCF is $66.00." 7. The income tax code in Bozonia states that the tax liability T(x) (in dollars) on x dollars of taxable income is: 0.04-x if 0 20000 e. Find the tax liability for taxable incomes of $20,000 and $50,000: i. Tax on $20,000. ii. Tax on $50,000. f. Graph the function y = T(x) Tax Liability 2800 2400 2000 1600 1200 800 400 Taxable Income 0 10 000 20 000 30 000 40 000 50 000

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