Lincoln supports his claim that "the tariff question must be as durable as the government itself" with an analogy to housekeeping. (option C)
An analogy draws a relationship between two different things. The purpose is to compare those things by finding something that connects them, despite the differences. This type of comparison serves to explain or clarify an idea, a topic, or an argument, for instance.
In the excerpt we are analyzing here, Lincoln uses an analogy when he compares the question of tariffs to housekeeping. His purpose is to show that both are similar in the sense that they can never be neglected.
Since he does not provide a specific fact or expert opinion, nor does he tell a personal story (anecdote), we can eliminate the other options and select option C as the correct answer.
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