Assume that in the relatively pristine area average (in thousands) available to caribou after t years (suppose t=0 represents January 1, 2010) is modeled by the function f(t)=490+340e-0.21t.
a.) Determine average rate of change in average from t=0 to t=1
b.) Determine average rate of change in average from t=0 to t=0.25
c.) Determine avergae rate of change in average from t=0 to t=0.05
d.) Determine average rate of change in average from t=0 to t=0.01
You have found slopes of secant lines which must approach slope of tangent line at t=0, which occurs to have the value of -71.4. Are values above getting closer and closer to -71.4?
e.) Determine average that model predicts in t=10, t=30, t=50, t=100.
It turns out that model predicts "limit" of 490,000 acres in long run. Are averages getting closer and closer to the number?