Use pen or pencil to write question and write the answer as a sentence. Purpose: Apply math ideas in solving a business problem. Illustrate how linear equations can be used to show a relationship between two quantities. Illustrate how average rate of change of linear function can be interpreted in application problems Knowledge: Use in business rate of change problems and in calculus. Task: Identify and define variables. Translate symbolic problem into verbal form Represent quantities numerically as ordered pairs. Use definition of linear function. Use linear function to answer questions about problem. Criteria (for Success): Header completed with name/question 1 point Identify and define variables. 1 point Accurate graph 2 ponts Identify slope 1 point Interpret rate of change 1 point (state problem, define variables, use the information to make a model (equation), use the model to answer questions in verbal form.) The amount of copper ore produce from a copper mine in Arizona is modeled by the function f(x) = 200 + 32x where x is the number of years since 2005 and f(x) is measured in thousands of tons. (a) Sketch a graph of f. (b) What is the slope of the graph? (c) At what rate is the amount of ore produced changing