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?
2007-01-20 12:23:53 · 3 answers · asked by sky l 1 in Science & Mathematics ➔ Mathematics
Yes.
2007-01-20 13:01:09 · answer #1 · answered by CheeseLord 3 · 1⤊ 0⤋
right
It makes sense that the increase is smaller since the body mass increases in any body organ.
2007-01-20 20:37:15 · answer #2 · answered by Theta40 7 · 0⤊ 0⤋
I checked your numbers as well as your percentage calculation and everything agreed (except I got 25.6% because I didn't round the other answers).
Pretty sure you're correct.
2007-01-20 20:44:50 · answer #3 · answered by Jim Burnell 6 · 0⤊ 0⤋