Exam-Style Question on Exponential Models
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 132. This question is similar to one that appeared on a GCSE Higher paper (specimen) for 2017. The use of a calculator is allowed.
Richard studies fish populations in a lake.
The size of a certain fish population at the start of 2015 was 3700.
The size of this fish population increases exponentially.
Richard assumes that the rate of increase is 15% per year.
(a) Using his assumption, work out the size of this fish population at the start of 2010.
(b) Richard’s assumption is too high. Explain how your answer to part (a) is affected.
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