Question

a student uses data to find the exponential regression function y=18.21(1.29)^x to model the population of a herd of bighorn sheep y for each year x after the initial contact which is the best estimate of the time in years for the population to reach 65 sheep

Answer 1

Given data:

The expression for the population of herds is y=18.21(1.29)^x.

Substitute 65 for y in the above expression.

$\begin{gathered} (65)=18.21(1.29)^x \\ (1.29)^x=3.5695 \\ x\ln (1.29)=\ln (3.5695) \\ x=4.99 \\ x\approx5\text{ years} \end{gathered}$

Thus, the value of times in year are , so option F is correct.