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October 30th, 2012, 11:02 AM  #1 
Newbie Joined: Oct 2012 Posts: 2 Thanks: 0  Tricky problem and I'm just stumped
I'm in precalculus and every two weeks we have an assignment due. I have completed every step but the teacher always likes to throw us a curve ball on the final question. I have the class in 90 minutes and this is more of a last ditch effort at guidance but I'd still like to know anyways in case a similar problem appears on the exam. I'll try to be clear: Here are two functions that I have gotten from a story problem. Linear function: L(t)=30x+240 Exponential function: E(t)=285.19(.794)^x The problem is asking me: Estimate L/t on the one unit interval 0 ? t? 1. The answer is 30/1 or just 30 Now the tricky part: Use the graph of E(t) to find another one unit interval in which delta E/delta t has the same value as delta L/delta t. Explain how you got your answer. If you aren't confused or this makes any sense to you I would really appreciate some help. Thanks. 
October 30th, 2012, 11:08 AM  #2 
Newbie Joined: Oct 2012 Posts: 2 Thanks: 0  Re: Tricky problem and I'm just stumped
This looks better: Estimate ?L / ?t on the one unit interval 0 ? t ? 1. Use the graph E(t) to find another one unit interval on which ?E/?t has the same value as ?L/?t 
October 30th, 2012, 01:13 PM  #3 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: Tricky problem and I'm just stumped
Essentially, we want to find: You will find 

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