Playing blackjack. Chloe, a bright mathematician, read a book on counting cards in blackjack and went to Las Vegas to try her luck. She started with $100 and discovered that the amount of money she had at time t hours after the start of the game could be expressed by the function f(t) = 100 + 55t – 3t2.
a. What amount of money had Chloe won or lost in the first two hours?
b. What was the average rate at which Chloe was winning or losing money during the first two hours?
c. Did she lose all of her money? If so, when?
d. If she played until she lost all of her money, what was the average rate at which she was losing her money?
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