# Mean resting respiratory rate#

The mean resting respiratory rate of an Etruscan shrew is 651 breaths per minute, while the mean respiratory rate of healthy standing unrestrained white rhinoceroses is 23 breaths per minute. If the mean mass of an Etruscan shrew is 1.68 $$g$$, what would one expect the mass of the white rhinoceroses to be assuming respiratory rates ($$RR$$) scale as $$M^{-1/ {{ params.power }} }$$?

## Part 1#

Prepare: Write a mathematical statement (e.g. $$A \propto BB$$) showing the proportionality relationship between RR and M.

• $$RR \propto M$$

• $$RR \propto M^{-1/2}$$

• $$RR \propto \frac{1}{M^{-1/2}}$$

• $$RR \propto \frac{1}{M}$$

## Part 2#

Prepare: Use proportional reasoning to express $$\frac{M\_{rhino}}{M\_{Es}}$$ in terms of $$RR\_{rhino}$$ and $$RR\_{Es}$$.

Use the following table as a reference for using each variable:

For

Use

$$RR\_{rhino}$$

RR_r

$$RR\_{Es}$$

RR_Es

## Part 3#

Solve for $$M\_{rhino}$$.

Please enter in a numeric value in $$kg$$.