Exponential Functions · Exercise 20

Consider this scenario: For each year $t,$ the population of a forest of trees is represented by the function $A\left(t\right)=115{\left(1.025\right)}^t.$ In a neighboring forest, the population of the same type of tree is represented by the function $B\left(t\right)=82{\left(1.029\right)}^t.$ (Round answers to the nearest whole number.)

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?

OpenStax, Algebra and Trigonometry 2e · §6.1 Exponential Functions · Exercise 20