Its a word problem.
an 18 inch by 20 inch sheet of cardboard is cut and folded to make a box for the great pecan company.
a. write a polynomial funtion to model the volume of the box.
how can i graph this?
c. the company wants the box to have a volume of 224 cubic inches. write an equation to model this situation.
d. find a positibe integer for x.
2007-11-08 14:12:38 · 1 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Draw a picture. If a square of side x is cut from each corner of the 18 by 20 sheet, the box will have a width of (18-2x), a length of (20-2x), and a height of x. So the volume will be
x(18-2x)(20-2x)
which, a bit further factored, is
4x(9-x)(10-x)
Expand that out to get the polynomial model. Note that 0 ≤ x ≤ 9
If the volume is to be 224, set your polynomial equal to 224.
2007-11-08 14:44:56 · answer #1 · answered by Ron W 7 · 0⤊ 0⤋