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Electricity Consumption The table below gives the retail sale of electricity (in billions of kilowatt-hours) for the residential and commercial sectors of the United States.

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Electricity Consumption The table below gives the retail sale of electricity (in billions of kilowatt-hours) for the residential and commercial sectors of the United States. Year Residential (billions of kilowatt- hours) 2000 1,192 2003 1,276 2006 1,400 2009 1,420 2012 1,402 2015 1,390 Let :0 represent time (in years) with m = 0 corresponding to 2000, and let 3; represent the corresponding residential sales. Find the quadratic regression equation for the data y=R(o:)=a:z:2|bq:+c with a, rounded to the nearest hundredth (2 decimal places), I) rounded to the nearest tenth (1 decimal place), and c rounded to the nearest integer. Use this quadratic model to answer questions 15-16 below. CarShanng Yaster Car Sharing offers a membership plan with a $54 per month fee that includes 14 hours of driving each month and charges $8 for each additional hour. Let F(m) be the cost for a month in which a member uses a car for 33 hours. Then F(:c) is the piecewise function 0 F(m) = 54,for0 : a: S 14, - F(:r;) = mic l b, for m > 14 for some scalars m and I). Find b. Round to the nearest whole number. Use this quadratic model above to answer this question. Predict the residential retail sale of electricity in 2028. Round to the nearest billion of kilowatt-hours. NOTE: You may get the wrong answer if you do not use the quadratic model with coefficients rounded as described above. billion of kilowatt-hours Question 16 5 pts Use this quadratic model above to answer this question. Predict the instantaneous rate of change in residential retail sale of electricity in 2026. Round to the nearest billion of kilowatt-hours. NOTE: You may get the wrong answer if you do not use the quadratic model with coefficients rounded as described above. billion of kilowatt-hours per year NOTE: Your answer might be negative

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