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 isf(t)=0.027t^2 +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.

Estimate at what capacity U. S. nuclear power plants were working in 2006

___________% 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