Middle English foode, fode, from Old English foda "food, nourishment; fuel," also figurative, from Proto-Germanic *fodon (source also of Swedish föda, Danish föde, Gothic fodeins), from Germanic *fod- "food," from PIE *pat-, extended form of root *pa- "to feed."
Food chain is by 1915. Food poisoning attested by 1864; food processor in the kitchen appliance sense from 1973; food stamp (n.) is from 1962.
late 14c., repaste, "a meal, a feast; food, nourishment, act of taking food," from Old French repast (Modern French repas) "a meal, food," from Late Latin repastus "meal" (also source of Spanish repasto), noun use of past participle of repascere "to feed again," from re- "repeatedly" (see re-) + Latin pascere "to graze" (from PIE root *pa- "to feed"). The verb, "refresh oneself with food" (intransitive), is from late 15c.