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6.1 Exercise 45

Avg difficulty 2.5

Consider this scenario: For each year t, t , the population of a forest of trees is represented by the function A(t)=115 (1.025) t . 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(t)=82 (1.029) t . 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 20 years? By how many?

OpenStax Algebra and Trigonometry 2e, 6.1 Exponential Functions, exercise 45

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.