A local retailer has determined that the number x of PortaBoy game systems sold in a week is related to the price p in dollars of each system. 70 game systems were sold when the price was $40. When the systems went on sale the following week, 175 systems were sold at $25 a piece. (a) Find a linear function which fits this data. Use the weekly sales x as the independent variable and the price p as the dependent variable. Answer: p(x) = (b) Find a suitable applied domain: (c) If the retailer wants to sell 315 PortaBoys next week, what should the price be? Answer: p= dollars

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