Consider this scenario: For each year t, the population of a forest of trees is
ID: 2890114 • Letter: C
Question
Consider this scenario: For each year t, the population of a forest of trees is represented by the function A(t) = 111(1.024)t. In a neighboring forest, the population of the same type of tree is represented by the function B(t) = 81(1.028)t.
Assuming the population growth models continue to represent the growth of the forests, which forest will have a greater number of trees after 100 years?
a) forest represented by A(t)
b) forest represented by B(t)
By how many? (Round your answer to the nearest whole number.)
Explanation / Answer
A) A (100) = 111*(102.4)
= 11366.4
B) B (100) = 81*(102.8) = 8326.8
A forest will have greater number of trees then B forest by (11366.4-8326.8) = 3039.6
Rounding off to nearest whole number: 3040