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lorasvet [3.4K]
1 year ago
10

Assuming the population growth models continue to represent the growth of the forests, which forest will have a greater number o

f trees after 20 years? By how many?

Mathematics
1 answer:
Maksim231197 [3]1 year ago
3 0

The given population models for the trees is given as:

\begin{gathered} A(t)=115(1.025)^t \\ B(t)=82(1.029)^t \end{gathered}

It is required to find which forest will have a greater number of trees after 20 years and by how many.

To do this substitute t=20 in the equations of the models:

A(20)=115(1.025)^{20}\approx188B(20)=82(1.029)^{20}\approx145

Hence, forest A has a greater number of trees after 20 years.

Calculate the difference:

188-145=43

It follows that forest A has a greater number of trees than forest B by 43 trees.

After 20 years, forest A has a greater number of trees than forest B by 43 trees.

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