SOLUTION: Mrs. Paullson bought chicken wire to enclose a rectangular garden. She is restricred to a widt of no more than 30 ft. She would like to use at most 180 ft of chicken wire. write a

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Question 394337: Mrs. Paullson bought chicken wire to enclose a rectangular garden. She is restricred to a widt of no more than 30 ft. She would like to use at most 180 ft of chicken wire. write a system of linear inequalities that5 describe this situation. Grapth the system to show all possible solutions.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let h%2Aw = the circumference
Let w = width
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2h+%2B+2w+%3C=+180 ft
also,
w+%3C=+30
2h+%3E=180+-+2w+
h+%3E=+60
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0+%3C+w+%3C=+30
60+%3C=+h+%3C+90
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When w+=+0, h+=+90
when w+=+30,h+=+60
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I'll plot w on the horizontal axis
and h on the vertical
so, I have the points
(0,90) and (30,60)
using the point-slope formula,
%28h+-+60%29%2F%28w+-+30%29+=+%2890+-+60%29%2F%280+-+30%29
%28h+-+60%29%2F%28w+-+30%29+=+-1
h+-+60+=+30+-+w
h+=+-w+%2B+90
I will plot this:
The only part of the line that is valid is the part inside
0+%3C+w+%3C=+30
60+%3C=+h+%3C+90
+graph%28+400%2C+400%2C+-20%2C+120%2C+-20%2C+120%2C+-x+%2B+90%29+