2026-09-10T00:15:01.920006 image/svg+xml Matplotlib v3.10.9, https://matplotlib.org/ © EAGLE BEACON GLOBAL Work out the overall percentage change in the pop...
Question 1 Report
Work out the overall percentage change in the population of a town over two years, as shown in the diagram.
The population increases by \(12\%\) during the first year, then decreases by \(12\%\) during the second year. State clearly whether the change is an increase or a decrease.
Answer Details
A \(12\%\) increase has multiplier \(1.12\), while a \(12\%\) decrease has multiplier \(0.88\). Apply both changes in sequence:
\[1.12\times0.88=0.9856\] [M1, M1, A1]
The final population is \(98.56\%\) of the original. Therefore:
\[1-0.9856=0.0144=1.44\%\]
The overall change is a decrease of \(1.44\%\) [A1]. Equal percentage increases and decreases do not cancel because the decrease is calculated from the increased population.
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