Can anybody give me ideas of real life examples using quadratic graphs?
Quadratic graphs can be used to find the maximum or minimum unit. An example: A farmer wish to build a rectangular sheep pen with a 160 m fence, using one side of an existing shed as the side. The shed is also a rectangular of measurement 20m x 20m. By using the fence of the same length and using the width of the shed as part of the width of the sheep pen, find the length and width of the sheep pen with the maximum area. Length of shed = 20 m Length of fence used = 160 m Let the length of the sheep pen be y m Let the width of the sheep pen be x m <-------------------x m---------------------> |————————————-… |oooooooooooooooooooooooooo| |oooooooo–sheep pen– ooooooo| y m |oooooooooooooooooooooooooo| |————————————-… |@— shed —@| |———————| <-----20 m -----> Length of fence used = 160 m y + x + y + (x – 20) = 160 2y + 2x – 20 = 160 2y + 2x = 180 y + x = 90 y = 90 – x Let the area of the sheep pen be A m².
