Problem 52A

Arctic Foxes The age/weight relationship of female Arctic foxes caught in Svalbard, Norway, can be estimated by the function

where t is the age of the fox in days and M(t) is the weight of the fox in grams. Source: Journal of Mammalogy.

a. Estimate the weight of a female fox that is 200 days old.

b. Use M(t) to estimate the largest size that a female fox can attain. (Hint: Find M(t).)

c. Estimate the age of a female fox when it has reached 80% of its maximum weight.

d. Estimate the rate of change in weight of an Arctic fox that is 200 days old. (Hint: Recall that .)

e. Use a graphing calculator to graph M(t) and then describe the growth pattern.

f. Use the table function on a graphing calculator or a spreadsheet to develop a chart that shows the estimated weight and growth rate of female foxes for days 50, 100, 150, 200, 250, and 300.

Solution:-

Step 1 of 7

Given that

a. We have to estimate the weight of a female fox that is 200 days old.