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The good news for the small prairie town of Woisme is that a new fiber optics plant is about to open. The bad news is that the old quarry is about to close, and many residents will lose their jobs as a result. The predicted population over the next few years can be modeled by the following equation:

  1. Using complete sentences, relate the equation for to the situation.

    There are both positive and negative components to . What do you think these components correspond to?

  2. Algebraically determine when Woisme will have the greatest population. Use your calculator only for numerical calculations.

    Find and determine when .

    Be sure to consider the endpoints. For example, Woisme's population might have been the greatest at the .