Which forest’s population is growing at a faster rate? For the following exercises, consider this scenario: For each year t, the population of a forest of trees is represented by the function A(t) = 115(1.025)t..

For the following exercises, consider this scenario: For each year t, the population of a forest of trees is represented by the function A(t) = 115(1.025)t. In a neighboring forest, the population of the same type of tree is represented by the function B(t) = 82(1.029)t. (Round answers to the nearest whole number.)

Which forest’s population is growing at a faster rate?

Expert Solution

Consider the scenario, for year t the population of a forest of trees is represented by the function;

A(t) = 115(1.025)t

Similarly, in a neighbor forest the population of the same type of tree is represented by the function;

B(t) = 82(1.029)t

The forest population that is growing at a faster rate is represented by the function;

B(t) =82(1.029)t

Because the growth rate for the function A(t) = 115(1.025)t is:

1.025 – 1 = 0.025

Similarly, the growth rate for the function B(t) = 82(1.029)t is:

1.029 – 1 = 0.029

Since, the growth rate for the B(t) = 82(1.029)t is high, the forest’s population that has growth rate faster is represented using the function;

B(t) = 82(1.029)t.

Since, the growth rate for the B(t) = 82(1.029)t is high, the forest’s population that has growth rate faster is represented using the function;

B(t) = 82(1.029)t.

Junaid answered 1 year ago

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Question

Which forest’s population is growing at a faster rate? For the following exercises, consider this scenario: For each year t, the population of a forest of trees is represented by the function A(t) = 115(1.025)t..

Solutions

Expert Solution

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