Comparison of On-line RatesDate: 5/20/96 at 21:47:53 From: Nick Magee Subject: Help! I just took the Golden State Exam. I need the answer to a question: Jack is interested in two on-line companies. Easy Comp. offers a base rate of $10 and the first 2 hours free. Each additional hour is $4 extra. Destruct Comp. offers a base rate of $8 and the first 5 hours free. Each additional hour is $5 extra. When will the prices be the same at the same hour? I get 16 hours. Thank You, Nick Magee Date: 6/14/96 at 1:7:2 From: Doctor Paul Subject: Re: Help! Sorry Nick..The answer is 19 hrs. :-( Here's how to do it: set it up using algebra... Base Rate + (Fee Per hour)(Hours over 2) = Base Rate + (Fee Per hour)(Hours over 5) Which in numbers is 10 + 4(x-2) = 8 + 5(x-5) 10 + 4x - 8 = 8 + 5x - 25 2 + 4x = 5x - 17 19 = x So the answer is 19 hrs. This is very easy to check... Easy comp: 10 + 4(19-2) = 78 dollars Dstct comp: 8 + 5(19-5) = 78 dollars Hope this helps.. -Doctor Paul, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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