'metropolis-appreciating' is a compound word formed from 'metropolis' and 'appreciating'. 'Metropolis' originates from Greek, specifically the word 'mētēr' meaning 'mother' and 'polis' meaning 'city'. 'Appreciating' comes from Latin 'appretiare', where 'ad-' meant 'to' and 'pretium' meant 'price' or 'value'.

'Metropolis' evolved from the Greek 'mētropolis' to the Latin 'metropolis', and eventually became the modern English word 'metropolis'. 'Appreciating' evolved from the Latin 'appretiare' to the Old French 'aprecier', and eventually became the modern English word 'appreciate'.

Initially, 'metropolis' meant 'mother city', referring to a city that was the origin of a colony. Over time, it evolved to mean a large, important city. 'Appreciating' initially meant 'to set a price on', but evolved to mean 'to value or admire'.