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A paint store sells 270 cans of paint per month at a price $32 each. A customer survey indicates that for each $1.20 decrease in price, sales will increase by 6 cans of paint. Determine the demand, or price, function.

Mathematics
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My answer is 0.2x, but the actual answer is 86-0.2x.
First, I found m thru m=1.20/6=0.2 Then I gound m by 1.20=(0.2)6+b
got, not gound.

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Other answers:

Don't give a medal please! I need assistance!
Please! This question is relatively simple.
hm, calculus?
Yes. IT should be easy.
looks like a minimum/maximum problem..
No, even easier than that.
Please, anyone, tell me how to achieve the correct answer.
lol, i think there's a formula for it..which i cant remmember.. but i found this on google: http://en.allexperts.com/q/Calculus-2063/2010/7/Rate-Change-3.htm
You looked up the actual question. Huh.
The real answer is 86-0.2x.
I got 0.2x only.
The formula to solve this is \(P(x) = R(x) -C(x)\), right?
That's something else.
The profit function.
It's the price function here.
well, whats the formula to solve this? I might be able to work backwards; since i cant remmeber how to do these..
Well, it's reall just y=mx+b that we're looking at, with slope nad b sought for.
f(x)=270+6(x/1.2)?
but this isn't continuous function is it? you cant' sell 270.3333 cans can you?
The answer in the textbook is 86-0.2x.
the function?
Yes.
shouldn't the constant term be 270 not 86. as you start from the 270 figure not 86... the negative sign might have been because of the decrease.

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