300 Foul ShotsDate: 07/11/2001 at 21:13:36 From: Roger Waters Subject: Unknown formula A basketball player shoots 100 foul shots on a given day, and increases the number he shoots by 10 per day. Number of days Number of shots taken 1 100 2 110 3 120 4 130 5 140 6 150 After how many days would the person have shot 300 foul shots? I know the answer is 21, but I need the formula. Thanks - Andrew Date: 07/11/2001 at 21:47:32 From: Doctor Jaffee Subject: Re: Unknown formula Hi Andrew, Look at it this way: Number of days Number of shots taken 1 100 = 100 + 0(10) 2 110 = 100 + 1(10) 3 120 = 100 + 2(10) 4 130 = 100 + 3(10) 5 140 = 100 + 4(10) 6 150 = 100 + 5(10) . . . n 300 = ? Notice the pattern that I have established. In particular, notice the number being multiplied by 10 in each row compared to the number of the day. You should be able to figure out the formula now. Give it a try and if you want to check your solution with me, write back. If you are having difficulties, let me know and show me what you have done so far, and I'll try to help you some more. Good luck. - Doctor Jaffee, The Math Forum http://mathforum.org/dr.math/ |
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