1/4-5/8n is equivalent to p(2-5n)
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Let us draw a triangle ABC with A=15° ,B=113° and b=7.
Please see the attached image.
We know that the sum of interior angles of a triangle is 180 degrees. Thus, we have
Apply Sine rule in the triangle ABC, we get
Therefore, we have
The population function of the Western Lowland Gorillas can either represent population growth or population decay
<h3>How to model the population</h3>The question is incomplete, as the resources to model the population of the Western Lowland Gorillas are not given.
However, the following is a general guide to solve the question.
An exponential function is represented as:
Where:
- (a) represent the initial value i.e. the initial population of the Western Lowland Gorillas
- (r) represents the rate at which the population increases or decreases.
- (x) represents the number of years since 2022
- (y) represents the population in x years
Given that the population of the Western Lowland Gorillas decreases, then the rate of the function would be 1 -r (i.e. an exponential decay)
Take for instance:
By comparison.
a = 2000 and 1 - r = 0.98
The above function can be used to model the population of the Western Lowland Gorillas
Read more about exponential functions at: