Applications Worksheet I


Problem 1

The sum of the length, width, and height of a rectangular box is 16 cm.  The width is twice the height.  Twice the length exceeds the sum of the width and the height by 5.  Find the length, width, and height of the box that fits this description.

Organize your data:

Define your variables on a separate sheet of paper, and create your equations. Solve this system of equations for each variable. Be sure to include labels on your final answers.
In the window below, you can enter your equations on the left to view the 3D graph of your application.   Make this graph useful, and think about it.  Do you see one single solution?  Are their multiple?  Any?   When you find an algebraic answer, check the graph to see if what you've found makes sense. Plot your solution point by simply entering it as (1,2,3) for example.  Does the point line up with what your graph expected?