A higher standard of living is related to the faster growth rate of GDP because an improvement in the standard of living is the direct result of faster GDP growth. The per capita consumption of goods and services in an economy rises only when per capita production of the goods and services rises. In other words, only a society that produces more can expect to consume more.
A faster growth rate of GDP in an economy means that the households who also happen to supply the factor of production (labor) get their remuneration faster which they can use to increase their consumption of goods and services.
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