The price elasticity of demand is defined as

Question

BlackTom AI · Accepted Answer

To begin, let's lay out the question in focus: what is the price elasticity of demand defined as?
Option A: 'the percentage change in income divided by the percentage change in the quantity demanded.' This is incorrect because elasticity of demand with respect to price uses price, not income, in the denominator. It would mix income elasticity concepts with price changes, which is not how the metric is defined.
Option B: 'the percentage change in the quantity demanded of a good divided by the percentage change in the price of that good.' This matches the textbook definition: elasticity of demand with respect to price equals the percentage change in quantity demanded divided by the percentage change in price. It measures how responsive quantity demanded is to changes in price.
Option C: 'the percentage change in the quantity demanded divided by the percentage change in income.' This resembles income elasticity of demand, not price elasticity. It would capture how demand responds to income changes, which is a different concept entirely.
Option D: 'none of these answers.' This would be appropriate only if none of the options matched the standard definition, but option B does match, so this is inaccurate.
Option E: 'the percentage change in price of a good divided by the percentage change in the quantity demanded of that good.' This is the inverse of the correct definition; it would represent something like the reciprocal of elasticity and does not reflect how quantity responds to price changes. It could lead to confusion or misinterpretation of responsiveness.
In terms of common misconceptions, beware that people sometimes confuse elasticity with merely noting that price and quantity move oppositely; however, the formal definition uses percentage changes in both variables, with the quantity change in the numerator and price change in the denominator.
Additionally, always ensure that the base for percentage changes is the initial or reference period values, as elasticity is a ratio of proportional changes and does not depend on absolute levels, assuming small percentage changes and ceteris paribus conditions.
Summarizing the distinctions: Option B correctly identifies the price elasticity of demand as the ratio of the percentage change in quantity demanded to the percentage change in price; Options A, C, and E mix in income or invert the ratio; Option D would only be correct if none of the provided statements fit, which is not the case here.

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