To encourage Jack to read during the summer, his father offers an incentive (reward). He will pay Jack $5 for the first book he reads. For each additional book Jack reads, his father will pay him an amount that is equal to some percentage, x, of the amount he paid for the previous book. Jack's
father agrees to let Jack choose a value for x, and Jack would obviously like his total earnings to be as large as possible.
Which of these options will allow Jack to earn an unlimited amount of money from his father, as long as he reads more and more books?
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X= 5%
X=25%
X=99%
X=101%