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.

Answer 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