The capacities at which U.S. nuclear power plants are working are shown in table
ID: 3265386 • Letter: T
Question
The capacities at which U.S. nuclear power plants are working are shown in table for various years.
Let f(t)f(t) be the capacity (in percent) at which U.S. nuclear power plants are working at t years since 1970. A model of the situation is f(t)=0.027t2+0.216t+53.296f(t)=0.027t2+0.216t+53.296.
Use a graphing calculator to draw the graph of the model and, in the same viewing window, the scattergram of the data. Does the model fit the data well?
The function is not a good model for the data
The function is a good model for the data.
Year Percent 1975 56 1980 59 1985 58 1990 70 1995 76 2000 88 2004 89Explanation / Answer
here from above regression equation: for 2012 ; t=42
1)therefore capacity U. S. nuclear power plants were working in 2012 =0.027*(42)2+0.216*(42)+53.296=109.996
2) let at period t; it will working at 100%
therefore 100=0.027*(t)2+0.216*(t)+53.296
solving above t=37.783
therefore in year 2008 U. S. nuclear power plants will be working at full (100%) capacity.
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