Chapter 6.1, Problem 25PPS

a)

To determine

To arrange: The animal from greatest mass to heart beat ratio to least mass to heart beat ratio.

Answer to Problem 25PPS

Animals in greatest to least ratio are : Horse, Cow, Cat, Hamster.

Explanation of Solution

Given information: Following table, showing the heart rate of different animals:

  

Concept used: Said ratio will be formed of mass to heart rate by putting mass in its numerator and heart rate in its denominator and then each ratio is written in its decimal form to arrange them from greatest value to least value.

Calculation: So, for cat, $\frac{Mass}{Heartrate}=\frac{2000}{150}=13.33$

For cow, $\frac{Mass}{Heartrate}=\frac{800000}{65}=12307.7$

For hamster, $\frac{Mass}{Heartrate}=\frac{60}{450}=0.133$

For horse, $\frac{Mass}{Heartrate}=\frac{1200000}{44}=27272.73$

Conclusion: Based on above calculated decimal values, animals from greatest ratio to least ratio are: Horse, Cow, Cat, Hamster

b

To determine

To name: The animal having greatest such ratio with reasoning.

Answer to Problem 25PPS

Horse has the greatest ratio as his mass is greatest among all and heart rate is least, so that its related ratio of mass to heart beat will have the greatest value.

Explanation of Solution

Given information: Following table, showing the heart rate of different animals:

  

Concept used: Said ratio will be formed of mass to heart rate by putting mass in its numerator and heart rate in its denominator and then each ratio is written in its decimal form to arrange them from greatest value to least value.

Calculation: So, for cat, $\frac{Mass}{Heartrate}=\frac{2000}{150}=13.33$

For cow, $\frac{Mass}{Heartrate}=\frac{800000}{65}=12307.7$

For hamster, $\frac{Mass}{Heartrate}=\frac{60}{450}=0.133$

For horse, $\frac{Mass}{Heartrate}=\frac{1200000}{44}=27272.73$

Conclusion: So, by above values obtained, it is concluded that Horse has the greatest mass to heart beat ratio.