the mean resting respiratory rate of an etruscan shrew is 650 breaths per minute, while the mean respiratory…

the mean resting respiratory rate of an etruscan shrew is 650 breaths per minute, while the mean respiratory rate of healthy standing unrestrained white rhinoceroses is 22 breaths per minute. if the mean mass of an etruscan shrew is 2.29 g, what would one expect the mass of the white rhinoceroses to be assuming respiratory rates (rr) scale as m^(-1/4)?\n\npart 1\n\nprepare: write a mathematical statement (e.g. a ∝ b) showing the proportionality relationship between rr and m.\n\n(a) rr ∝ 1/m^(-1/4)\n(b) rr ∝ m\n(c) rr ∝ 1/m\n(d) rr ∝ m^(-1/4)\n\npart 2\n\nprepare: use proportional reasoning to express m_rhino/m_es in terms of rr_rhino and rr_es.\n\nuse the following table as a reference for using each variable:\n\nfor use\nrr_rhino rr_r\nrr_es rr_es\nm_rhino/m_es = symbolic expression

the mean resting respiratory rate of an etruscan shrew is 650 breaths per minute, while the mean respiratory rate of healthy standing unrestrained white rhinoceroses is 22 breaths per minute. if the mean mass of an etruscan shrew is 2.29 g, what would one expect the mass of the white rhinoceroses to be assuming respiratory rates (rr) scale as m^(-1/4)?\n\npart 1\n\nprepare: write a mathematical statement (e.g. a ∝ b) showing the proportionality relationship between rr and m.\n\n(a) rr ∝ 1/m^(-1/4)\n(b) rr ∝ m\n(c) rr ∝ 1/m\n(d) rr ∝ m^(-1/4)\n\npart 2\n\nprepare: use proportional reasoning to express m_rhino/m_es in terms of rr_rhino and rr_es.\n\nuse the following table as a reference for using each variable:\n\nfor use\nrr_rhino rr_r\nrr_es rr_es\nm_rhino/m_es = symbolic expression

Answer

Answer:

(a) d. (RR\propto M^{-1/4}) (b) (\frac{M_{rhino}}{M_{Es}}=\left(\frac{RR_{Es}}{RR_{r}}\right)^4)