3) (4 points) For the following, consider this scenario: For each yeart, the population oft

deer in a national park is represented by the functionP1(t) = 100(1.015) . In a neighboringt

park, the population of deer is represented by the functionP2(t) = 85(1.025) . Determine the following (round answers down to the closest whole number).

(a) Which deer population is growing at a faster rate?

(b) Which park had a greater number of deer initially? By how many?

(c) Assuming the population growth models continue to represent the growth of the deer population, which park will have a greater number of deer after 10 years? By how many? Please use a calculator to determine the answer.

(d) Assuming the population growth models continue to represent the growth of the deer

population, which park will have a greater number of deer after 50 years? By how many? Please use a calculator to determine the answer.