Question

Cement

For each year, the population of a forest of trees is
represented by A(t) = 115(1.025)' In a neighboring forest,
the population of the same type of tree is represented by
the function B(t) = 82(1.029)".
s
ments
5
Assuming the population growth models continue to
represent the growth of the forests, which forest will have a
greater number of trees after 20 years? By how many?

Answer 1

Answer: Forest A will have a greater tree population

Step-by-step explanation: The function for forest A is A(t)=115(1.025), which is the number of trees in one year, so a formula to calculate for t number of years could be: A(t) = 115(1.025)(t), and for B it could be B(t) = 82(1.029)(t).

t represents the number of years, so after 20 years the number of trees would be:

A(20) = 115(1.025)(20) = 2357.5

B(20) = 82(1.029)(20) = 1687.56

A(20 - B(20) => 2357.5 - 1687.56 = 669.94

Therefore, there would be a greater number of trees in Forest A after 20 years. It is greater than forest B by 669.94 trees.