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
1995 76
2000 88
2004 89


Let
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
)
=
0.027
t
2
+
0.216
t
+
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.


Estimate at what capacity U. S. nuclear power plants were working in 2014.

% 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.