(Solved): Animal populations move about and disperse. A number of models for this dispersion have been pr ...

Animal populations move about and disperse. A number of models for this dispersion have been proposed, and many of them involve the logarithm. For example, in 1965, O. H. Parist released a large number of pill bugs and after 12 hours recorded the number $n$ of individuals that could be found within r meters from the point of release. He reported that the most satisfactory model for this dispersion is given by the following formula. $n=-0.772+0.297\log (t)+\frac{6.991}{t}$ (a) Make a graph of $n$ against $r$ for the circle around the release point with radius 15 meters. (b) How many pill bugs were to be found within 3 meters from the release point? (Round your answer to the nearest whole number.) individuals (c) How far from the release point would you expect to find only a single individual? (Round your answer to two decimal places.