| Exam Board | OCR |
|---|
| Module | PURE |
|---|
| Topic | Chain Rule |
|---|
2 The number of people, \(n\), living in a small town is changing over time. In an attempt to predict the future growth of the town, a researcher uses the following model for \(n\) in terms of \(t\), where \(t\) is the time in years from the start of the research.
\(n = 12500 + \frac { 5000 } { t }\), for \(t \geqslant 1\)
Find the rate of change of \(n\) when \(t = 5\).