Chapter 14.6, Problem 30E

Gray Wolves Accurate methods of estimating the age of gray wolves are important to scientists who study wolf population dynamics. One method of estimating the age of a gray wolf is to measure the percent closure of the pulp cavity of a canine tooth and then estimate age by

     $A\left(p\right)=\frac{1.181p}{94.359-p},$

where p is the percent closure and A(p) is the age of the wolf (in years). Source: Journal of Wildlife Management.

(a)    What is a sensible domain for this function?

(b)    Use differentials to estimate how long it will take for a gray wolf that first measures a 60% closure to obtain a 65% closure. Compare this with the actual value of about 0.55 year.