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If two areas have the same absolute increase but the first has a smaller base population what will the first area's growth rate be like?

Answer and explanation

Correct answer: Higher

Direct answer: B, higher. Growth rate is usually expressed as the increase divided by the initial, or base, population and multiplied by 100: growth rate = (absolute increase ÷ base population) × 100. When the same increase is divided by a smaller base, the resulting fraction and percentage are larger. For example, an increase of 100 is 10% of 1,000 but 20% of 500. A is wrong because the smaller denominator makes the rate higher, not lower. B is correct for this reason. C is wrong because a positive absolute increase cannot produce a zero rate. D is wrong because the increase is not negative; a smaller base does not make a positive increase negative. Do not confuse absolute increase, which is the same in both areas, with growth rate, which considers the starting population. Memory cue: same gain + smaller starting base = larger percentage.

Related tags

Same Absolute IncreaseSmall BaseGrowth RatePercentagePopulation GrowthPopulationGeographyClass 9 Mcq

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