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Problem 9 Easy Difficulty

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?

Answer

$B(t)=82(1.029)^{t}$

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KM

Kira M.

November 21, 2020

KM

Kira M.

November 21, 2020

Video Transcript

So if we want to compare to exponential functions, we can see which has faster growth by looking at B base in our examples here, A has a base went Syria to five B has a base of 0.29 So although a has a lot to start in, Population B is going too fast growth over the long term. The real question is, how much time do we need for that? So really make a difference.