SOLUTION: A page with dimensions of 8.5 inches by 11 inches has a border of uniform width "x" surrounding the printed matter of the page...
a) write a formula for the area of the printed
Question 263970: A page with dimensions of 8.5 inches by 11 inches has a border of uniform width "x" surrounding the printed matter of the page...
a) write a formula for the area of the printed portion of the page as a function of the width "x" of the border
B) what are the domain and range of the above function?
C) graph the equation and use your calculator to find the width of the margin that should be used to obtain an area of 70 square inches. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A page with dimensions of 8.5 inches by 11 inches has a border of uniform width "x" surrounding the printed matter of the page...
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Draw the picture so you can see the meaning of the math.
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a) write a formula for the area of the printed portion of the page as a function of the width "x" of the border
Area(x) = (8.5+2x)(11+2x)
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B) what are the domain and range of the above function?
The dimensions cannot be negative so x > 0
Domain: All Real Numbers > 0
Range: All Real Numbers greater than 8.5*11 = 93.5 sq. in.
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C) graph the equation and use your calculator to find the width of the margin that should be used to obtain an area of 70 square inches.
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Cheers,
Stan H.
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