A zoologist is investigating the growth of a population of red squirrels in a forest - AQA - A-Level Maths Pure - Question 2 - 2017 - Paper 2
Question 2
A zoologist is investigating the growth of a population of red squirrels in a forest.
She uses the equation
$$N = \frac{200}{1 + 9e^{-\frac{t}{5}}}$$
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Worked Solution & Example Answer:A zoologist is investigating the growth of a population of red squirrels in a forest - AQA - A-Level Maths Pure - Question 2 - 2017 - Paper 2
Step 1
What is the size of the squirrel population at the start of the investigation?
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Answer
To find the size of the squirrel population at the start of the investigation, we need to evaluate the equation when time t is 0.
Substituting t = 0 into the equation gives us: N=1+9e−50200
This simplifies to: N=1+9e0200=1+9⋅1200=10200=20
Therefore, the size of the squirrel population at the start of the investigation is 20.