Lesson Objective

Given information about the weight of the pig and the price per pound of the pig at certain times, the student is guided through the process of writing a function for the worth of the pig at any time. Once the function is written, they are able to determine when to sell the pig to maximize profit. An extension is added where they will consider how feeding the pig enters into the function. The student will: 1. Determine the independent and dependent variables for the pig problem. 2. Determine an appropriate quadratic model for the pig problem. 3. Use their graphing calculator to graph a quadratic function in an appropriate window. 4. Use their graphing calculator to determine the maximum of a function. 5. Interpret the meaning of the intercepts, in the context of the problem. 6. Distinguish between “worth” and “profit”. 7. Use their model to make predictions.

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