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October 30th, 2012, 11:02 AM   #1
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Tricky problem and I'm just stumped

I'm in pre-calculus 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.
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October 30th, 2012, 11:08 AM   #2
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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
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October 30th, 2012, 01:13 PM   #3
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Re: Tricky problem and I'm just stumped

Essentially, we want to find:



You will find
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