For a period of time as an alligator grows, its mass is proportional to the cube of its length. When the alligator's length changes by 15.8%, its mass increases by 17.3kg. Find its mass at the end of this process.

Question

For a period of time as an alligator grows, its mass is proportional to the cube of its length.  When the alligator's length changes by 15.8%, its mass increases by 17.3kg.  Find its mass at the end of this process.

bobpursley · Answer

mass=k*length^3 mass+17.3=k(length*1.158)^3 k*length^3=k(length^3 ( 1.55)-17.3 .55K*length^3=17.3 mass*.55=17.3 massfinalthen=17.3/.55 + 17.3