I need help answering #8. Please let me know if you need other Information to answer the question.

o 8. Plot the function M (t) for several different values of 7", while holding 6 constant. What does a larger value of 7" imply about the best time to sell the basketball? Is that consistent with the meaning of r? Suppose that the seller, who is 35 years old, decides to sell this basketball at time t, sometime in the next 30 years: 0 S t S 30. At that time t, he will invest the money he gets from the sale in a bank account that earns an interest rate of r, compounded continuously, which means that after t years, an initial investment of B USD will be worth Be\" USD. When he turns 65, he will take the money in his bank account for his retirement. Let M (t) be the amount of money in his account when he turns 65, where t is the time at which he sells his basketball. A seller in ebay has a rare basketball, which was used in 2012 London Olympics and was signed by the basketball giant, Kobe Bryant. The seller is trying to decide when to sell it, and he is asking for 980 USD at this stage. He knows its value will grow over time, but he could sell it and invest the money in a bank account, and the value of the money would also grow over time due to interest. The question is: when should the seller sell the basketball? Experience suggests to the seller that over time, the value of the basketball, like many other collectibles, will grow in a way consistent with the following model: V(t) = A6\" where A and 0 are constants, and V(t) is the value of the basketball in dollars at the time t years after the present time. ebay Shop by Search... All Categories v Search Advanced category Autographs-Original > Basketball-NBA > Balls Kobe Bryant Signed Olympic Basketball with "London 2012" LE 20/24 - PANINI Item condition: - X f M P | Add to watch lit Price: US $980.00 Seller information Buy It Now sports-memorabilia-investments (120 *) 100% Positive feedback Add to cart + Follow this seller Best Offer: Make Offer See other items molten 4 watching Add to watch list SPORTS OFFICIAL * Add to collection MEMORABILIA.com Best offer available SPALDING 100% positive feedback NBA- PayPal 12 months financing available CREDIT Subject to credit approval. See terms Acrylic Miami Heat Shaquille Shipping: $15.50 Expedited Shipping | See details Basketball Team Trading O'Neal Item location: Stuart, Florida, United States Display Case... Card Block/5... Orlando Mag... Ships to: United States and many other countries | See details $74.99 $14.95 $129.95 Delivery: Estimated between Tue. Oct. 28 and Fri. Oct. 31 0 BUY BUY BUY Payments: PayPal or PayPal CREDIT | See details AdChoice