The mass of a human liver scales allometrically as ML = 0.082 x MB^0.87, where MB is the individual's body mass. Suppose the body mass of an individual increases by 30%. What is the percent increase in the mass of their liver?
here's my work..using a person who was originally 140lbs
original size of liver:
ML = 0.082 x (140^0.87)
ML = 6.04
increased size of liver with 30% increase in MB:
ML = 0.082 x (182^0.87)
ML = 7.58
so..percent increase of liver :
7.58 - 6.04 = 1.54
(1.54 / 6.04) x 100 = 25.5% increase
does that look right?
there's this second problem too..basic concept
Consider an 8-year old child whose body mass is 25 kg and is increasing at a rate of 7 kg/year. Assuming that the mass of the kidneys scales with body mass as Mk=0.021 x Mb^0.85, find the rate at which the mass of the kidneys is increasing (in kg/year).
For this problem..I basically used the weights 25kg,32kg,39kg, etc..increasing it by 7kg
the Mk (mass of kidneys) keep increasing my .07. Would that be the answer?