The blood mass of a mammal is proportional to its body mass. A rhinoceros with body mass 3000 kilograms has blood mass of 150 kilograms. Find a formula for the blood mass of a mammal as a function of the body mass and estimate the blood mass of a human with body mass 70 kilograms.

Kg

Explanation:

Given

Body mass of rhinoceros Kg

Blood mass of rhinoceros

It is also given that blood mass is proportional to the body mass of the species.

Thus, if B represents the body mass and b represents the blood mass the relation between the two can be represented as

∝

On introducing a proportionality constant "k" , the relation becomes

The value of proportionality constant "k"  can be determined by substituting the given values of B and b in above relation -

Thus the relation becomes

Part A

estimate the blood mass of a human with body mass 70 kilograms.

Substituting the given values , we get

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