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Two variables P and L are such that P varies partly as L and partly as the square root of L.Determine the relationship between P and L given that when L=16,P=500 and when L=25,P=800.

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  1. P = k L + m L^.5

    500 = 16 k + 4 m
    800 = 25 k + 5 m

    2500 = 80 k + 20 m
    3200 = 100 k + 20 m
    ---------------------subtract
    -700 = -20 k
    k = 35 etc

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