SOLUTION: A cardboard poster containing 32in^2 of printed region is to have a margin of 2in at the top and bottom and 4/3in at the sides. Create a non-linear function. Represent it in equati

Algebra.Com
Question 1067033: A cardboard poster containing 32in^2 of printed region is to have a margin of 2in at the top and bottom and 4/3in at the sides. Create a non-linear function. Represent it in equation and table form.
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = height of the printed area
Let = width of the printed area
Let = the total area of the poster
------------------------------------
(1) in2
(2)
Notice I added twice the margins to height and width
--------------------------------------------------
(2)
and
(1)
---------------------
(2)
(2)
---------------------------------------
Here's a plot of this function:

It looks like for , I get an area of about



(2)
(2)
(2)
(2)
()
Pretty close
Hope this helps -you can make a table
You could also make Area a function of height
instead of width if you wanted to.

RELATED QUESTIONS

A poster with a total area of 500 sq inch must have a 2 inch margin at the sides and at... (answered by Fombitz)
A 25-by-37-inch sheet of paper is to be used for a poster, with the shorter side at the... (answered by kitkat02)
A 26-by-31-inch sheet of paper is to be used for a poster, with the shorter side at the... (answered by josgarithmetic)
A 26-by-31-inch sheet of paper is to be used for a poster, with the shorter side at the... (answered by josmiceli)
A rectangular cardboard poster is to have a 96 - square - inch rectangular section of (answered by ikleyn)
Word Problems involving Optimization (Derivatives) A poster must have a printed area... (answered by mananth,ikleyn)
Word Problems involving Optimization (Derivatives) A poster must have a printed area... (answered by mananth,ikleyn,greenestamps)
The top and bottom margins of a poster are each 6 cm and the side margins are each 4cm.... (answered by stanbon)
The top and bottom margins of a poster are 6 cm and the side margins are each 6 cm. If... (answered by ikleyn)