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A relative risk of \( 1.06 \) per \( 10 \) micrograms per cubic metre of PM2.5 applies. An increase of \( 25 \) micrograms raises the risk by about

  • A.15.4 per cent
  • B.6.0 per cent
  • C.150 per cent
  • D.2.4 per cent

Answer: A

Correct answer: 15.4 per cent

The relative risk applies per 10 micrograms, so 25 micrograms is 2.5 such increments:

\[ RR = 1.06^{2.5} = 1.154 \]

an increase of about 15.4 per cent. The distractor \( 6.0 \) applies the risk once regardless of the increment, and \( 150 \) confuses the relative risk with a percentage. Note that the relation compounds rather than adding, though over this range the difference between compounding and simple multiplication is small.

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