# PreCalculus Challenge puzzler

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• Sep 28th 2008, 10:21 AM
mikedwd
i graphed in Microsoft Math and found some points that work (that are within the region and are integers)

(27,21)(23,18)(32,25)(36,28)(40,31)(49,38)

and I'm still looking, but how do I evaluate for ALL possible solutions?

I'm going to try a regression analysis in my TI-84 to see if there is a way but if you think there's anything i need to know please tell!

anyway, THANKS SO MUCH FOR THE HELP!!!! it means a lot to me

Quote:

Originally Posted by CaptainBlack
I would do it by search, the largest value that \$\displaystyle a\$ can take is less than \$\displaystyle 54\$, and the smallest more than \$\displaystyle 16\$ (find the points of intersection of the lines defining the feasible region to show this).

So for each \$\displaystyle a\$ between \$\displaystyle 17\$ and \$\displaystyle 53\$ I would check which values of \$\displaystyle m\$ give points in the feasible region (they will all be close to \$\displaystyle 0.77a\$).

RonL

oh duh!! that makes sense

thanks so much for your help, I can't thank you enough!!
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