Question

For mammals, brain mass scales as body mass to the power of 0.70: Mbrain∝M0.70body.Mammal A has twice the body mass of mammal B. What is the ratio of mammal A's specific brain mass to mammal B's? Report your answer using two significant figures

Answer 1

Answer:

Ration of mammal A's specific brain mass to mammal B's $= 1.624$

Explanation:

Given -

Mass of brain is equal to 0.7th power of mass of body

Mass of brain in terms of  mass of body of Mammal B

$= M^{0.7}$

Where M signifies the mass of body of mammal B

Mass of body of mammal A $= 2*$mass of body of Mammal B$= 2M$

Mass of brain of mammal A in terms of  mass of body of Mammal B

$= 2M^{0.7}$

Ration of mammal A's specific brain mass to mammal B's

$\frac{(2M)^{0.7}}{M^{0.7}} \\= 2^{0.7}\\= 1.624$

Thus, Ration of mammal A's specific brain mass to mammal B's $= 1.624$