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Year 10 Maths - 10A Indices and Surds

Exponential Growth and Decay

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Question 1
209649

A town in regional Queensland has \(12\,000\) people. Its population grows by \(3\%\) each year.

(i) Complete the rule for the population \(P\) after \(n\) years: \(P = 12\,000\times \square^{\,n}\).

(ii) Use your rule to find the population after \(5\) years, to the nearest whole number.

Part a: (i) \(P=12\,000\times\) 
1.03
 \(^{n}\) 1 mark
Part b: (ii) 
13911
 people 1 mark

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