A certain shade of purple paint is made by mixing blue and red paint. The relationship between the number of quarts of blue paint in the mix, xx, and the number of quarts of red paint, yy, is represented by the graph below. What is the constant of proportionality as shown in the graph?

the perimeter is increased by a factor of 2

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maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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