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Here is an activity that presents a good example of a function modeling a relationship between two quantities. John is making DVDs of his friend's favorite shows and needs to know how much to charge his friend to cover the cost of making the DVDs. Learners complete a table of values to investigate how the total cost and the cost of each DVD changes as the number of DVDs produced increases. Learners use data from the table to answer questions about different scenarios, write a function to represent the average cost per DVD of producing x number of DVDs, find the domain of their average cost function, and draw its graph.
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