Question

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.

Answer 1

Answer:

$B = 20 b$

$3.5$ Kg

Explanation:

Given

Body mass of rhinoceros $= 3000$ Kg

Blood mass of rhinoceros $= 150$

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

$B$ ∝ $b$

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

$B = kb$

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

$3000 = k * 150\\k = \frac{3000}{150} \\k = 20$

Thus the relation becomes

$B = 20 b$

Part A

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

Substituting the given values , we get

$70 = 20 * b\\b = 3.5$