The capacities at which U.S. nuclear power plants are working are shown in table for various years.

Year	Percent
1975	56
1980	59
1985	58
1990	70
1	1
2000	88
2004	89

Let $\displaystyle {f{{\left({t}\right)}}}$ 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 $\displaystyle {f{{\left({t}\right)}}}=-{0.074}{t}^{{2}}+{4.693}{t}+{12.683}$.

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?



Estimate at what capacity U. S. nuclear power plants were working in 2008.

% Round to the nearest whole percent.

Predict when U. S. nuclear power plants will be working at full (100%) capacity.

Enter the year this occurs.