

Subject:
Exponential Growth/Decay
Category: Reference, Education and News > Homework Help Asked by: goobygooga List Price: $4.00 
Posted:
23 Aug 2006 18:52 PDT
Expires: 22 Sep 2006 18:52 PDT Question ID: 758941 
My son (in Algebra 2) has been given an assignment asking him to tell whether several different equations show exponential growth or decay, and to JUSTIFY. Some examples are: 2(0.33x)^2 and 3((0.75)^2)x Can somebody explain how to figure out (at the 9th grade level) whether a certain equation shows growth or decay? And since you can't use a calculator, I cannot simply graph it to justify my answer. 

There is no answer at this time. 

Subject:
Re: Exponential Growth/Decay
From: jack_of_few_tradesga on 24 Aug 2006 05:00 PDT 
Plug in different values for x. If when X increases the solution increases, then you have growth. If when X increases the solution decreases, then you have decay. 
Subject:
Re: Exponential Growth/Decay
From: frdega on 24 Aug 2006 05:54 PDT 
Er.. Jack, do you not mean the implicit Y ? 
Subject:
Re: Exponential Growth/Decay
From: jack_of_few_tradesga on 24 Aug 2006 06:27 PDT 
Sure, you can call it an implicit Y. However I'd just assume to ignore the need to have an equals sign and a variable on the other side of the equation... and simply simplify what you have. Kinda like... What is 2 X 4 or 392Y + 219Y In either case, any reasonable math person knows they can simplify things without the need of an equals sign. 
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