Observations suggest that for herbivorous mammals, the number of animals N per square kilometer can be estimated by the formula

where m is the average mass of the animal in kilograms.

a. Assuming that the average elk on a particular reserve has mass 300 kilograms, approximately how many elk would you expect to find per square kilometer in the reserve?

b. Using this formula, it is estimated that there is less than one animal of a certain species per square kilometer. How large can the average animal of this species be?

c. One species of large mammal has twice the average mass as a second species. If a particular reserve contains 100 animals of the larger species, how many animals of the smaller species would you expect to find there?

Transcribed Image Text:

N = 91.2 0.73' m