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Year 12 Maths Standard 2 Non-Linear Relationships

Exponential Models

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Question 1
119362

The size of a flock of birds, \(F\), after \(t\) years is declining exponentially by the function \(F=400 \times(0.8)^t\), as seen in the graph.

i) What is the initial flock of birds?
ii) How many birds were present after 3 years
iii) Estimate the number of years it will take for the population to be 100.

i) \(400\)

ii) \(204\)

iii) \(6.2\) years

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