or link. We will assume that it appreciates according to the formula, namely Ce0.5x where C is the current selling price. Question 2: Your individual time period and interest rate after selling your collectible are on the next page. What is your time period and interest rate? Question 3: What would you like to use the money for in 4555 years? Question 4: Let A(x) be the amount of money at the end of your time period if you sell your item after x years. Find A(x) and simplify. Question 5: What is the domain of A(x) ? Remember, the domain is the relevant period for this problem. Question 6: Graph A(x) making sure that the entire domain that you found in question 4 is visible and easy to see by changing the x and y ranges appropriately. Based on the graph, when do you think would be the best time to sell your item? How much money do you think you will have? Question 7: Use calculus to maximize A(x). Check your answer with your guesses in question 5 . Question 8: Will you have enough money to do what you wanted it for in question 3 (assuming current prices, of course, not a reasonable assumption)