Final answer:
Virginia was founded primarily for profit, motivated by gold and later tobacco farming. Rhode Island was established for religious purposes, as a place of religious freedom and tolerance.
Step-by-step explanation:
To correctly match the colony names to their primary founding purposes, we look at historical evidence and facts regarding the inception of American colonies.
Virginia, as suggested by historian Daniel Boorstin, was founded with commercial intentions where early settlers such as those in Jamestown looked for gold and later discovered the profitability of tobacco farming. This indicates that Virginia was founded primarily for profit.
In contrast, Rhode Island was established by refugees from Massachusetts like Roger Williams, who sought religious freedom and tolerance. This was a direct counter to the Puritan orthodoxy of Massachusetts, thus making Rhode Island a colony that was founded primarily for religious purposes.