To determine which conclusion is best supported by the map, we would need to analyze the geographic features and the extent of the Aztec and Olmec civilizations as represented in the map.
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The Aztec empire conquered the Olmec civilization. - This statement would typically be supported by historical evidence rather than map evidence, as by the time the Aztecs rose to power, the Olmec civilization had already declined.
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The Olmec civilization depended on slash-and-burn agriculture. - This could potentially be supported by the map if it indicated forested areas where such agricultural practices were common, but it’s not necessarily governed by a map's geographical representation.
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The Aztec empire expanded across a variety of landforms. - A map illustrating various terrains (mountains, valleys, deserts) within the territory of the Aztec empire would support this conclusion.
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Food production was easier for the Aztecs than it was for the Olmecs. - This again would depend on the representation of agricultural regions and resources, which might be shown on the map.
Without seeing the actual map, it is challenging to determine definitively. However, based on typical conclusions drawn from maps that represent cultural and geographic features, the statement regarding the Aztec empire expanding across a variety of landforms is likely the most supported if the map shows diverse terrains within their territory.