## 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) Richardâ€™s assumption is too high. Explain how your answer to part (a) is affected.

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