Aidan buys used bicycles, fixes them up, and sells them. His average cost to buy and fix each bicycle is $47. He also incurred a one-time cost of $840 to purchase tools and a small shed to use as his workshop. He sells bikes for $75 each. Use this information for Exercises 12-15.

12. WRITE revenue and cost functions R(x) and C(x) for Aidan's situation, where x is the number of bicycles. How do you include the one-time cost in C(x)?
13. WRITE a profit function P(x) such that P(x) = R(x) - C(x). In words, what does P(x) represent?
14. BUILD PERSEVERANCE List key features for the profit function P(x). Then use thekey features to sketch a graph that shows the profit P(x) as a function of x bicycles.
15. USE REPRESENTATIONS Which key feature of the graph represents Aidan's break-even point (profit = 0)? Explain how to use your graph to find the mostaccurate value for this feature. 16. CREATE Research the population in your state over a 10-year period. Sketch a graph to model the data. Then list the key feature of the graph.​