Mathematics for IGCSE & O level - Limits Of Accuracy (Section 2 - No. 48)
The population of a town is 108,000 to the nearest 1000. Its area is given as 129 km² to the nearest km². Calculate the lower bound of its population density, giving your answer to 3 significant figures.
828 km⁻²
829 km⁻²
830 km⁻²
831 km⁻²
Explanation
Population density = Population / Area. Lower bound = Lower bound of Population / Upper bound of Area. LB population is 107500, UB area is 129.5. 107500/129.5 = 830.1 = 829 km⁻² (3.s.f)
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