For each year, the population of a forest of trees is represented by A (t) = 115 (1.025) ^t A (t) = 115 (1.025) t. In a neighboring forest, the population of the same type of tree is represented by the function LaTeX: B (t) = 82 (1.029) ^t B (t) = 82 (1.029) t. Which forest had a greater number of trees initially? By how many?

Question

Ana Lewis

Mathematics

21 March, 08:04

For each year, the population of a forest of trees is represented by A (t) = 115 (1.025) ^t A (t) = 115 (1.025) t. In a neighboring forest, the population of the same type of tree is represented by the function LaTeX: B (t) = 82 (1.029) ^t B (t) = 82 (1.029) t. Which forest had a greater number of trees initially? By how many?

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Alexis Morgan · Answer 1

Forest represented by equation A (t)

by 33

Step-by-step explanation:

at t=0

A (t) = 115 (1.025) ^0

A (0) = 115

at t=0

B (t) = 82 (1.029) ^0

B (0) = 82

So, Forest represented by A (t) had greater number of trees initially.

Difference = 115-82

= 33