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If you express the volume of a box (made from 22 x 18 grid paper described earlier) as an equation with height x, then the length is 22-2x (why? ) and the width is 18-2x.
x*(22-2x)(18-2x) can be plugged into your graphing calculator and plotted.
It will look like the plots below.
of x*(22-2x)*(18-2x) is at left.
|The window settings on the
calculator look like those at left.
|Above is a trendline added to
the Excel graph of the volume of the boxes. How is the equation that
Excel gives related to the equation we used in the graphing calculator?