Melody

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Имя пользователяMelody
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Melody  11 февр. 2022 г.
 #3
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25 окт. 2016 г.
 #1
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Maths exists so that children, small and large, can be tortured  !!

 

https://www.youtube.com/watch?v=jQbN8vLjw6A

 

(That is a standard CPhill answer only it is funnier when he says it.)     cool cool cool

25 окт. 2016 г.
 #1
avatar+118728 
+5

Hi rarinstraw,

 

Gino is really good at these he may have a better way to do it.

 

I set up these four equations

\(cost = ax^2+bx+c\\~\\ 550=a*225+b*15+c\\ 700=a*289+b*17+c\\ 1500=a*529+b*23+c\\ 2500=a*900+b*30+c\)

 

Then I solved them simultaneously.

I got 

\(a\approx 3.23\\ b\approx -28.40\\ c\approx 249\\ so\\ cost\approx 3.23x^2-28.40x+249\)

 

https://www.desmos.com/calculator/h94xx9vjun

 

 

 

3.23*42^2-28.40*42+249 = 4753.92

 

The points do not fit on the graph exactly because the these points will not fit any quadratic model exactly.

 

So the estimated cost of a 42cm tele is  $4754

 

BUT since 42cm is an extrapolated point (larger than any of the other sizes) you would need to be very careful about relying on this price.

25 окт. 2016 г.