What do continuous indifference curves indicate about a person's preferences?

Continuous indifference curves illustrate a person's preferences by representing combinations of goods that yield the same level of satisfaction or utility. The key concept behind indifference curves is that any point along a given curve provides the same satisfaction to the individual, meaning they would be indifferent between those combinations.

The curve being continuous suggests that small changes in the quantities of the goods involved result in small changes in utility, allowing for trade-offs between the goods. This indicates that the person has a consistent preference structure and is willing to substitute one good for another while maintaining the same level of overall satisfaction.

In the context of the other choices, while indifference curves do not indicate indifference to all options, preference for only one option, or fixed choices independent of conditions, they specifically provide insights into how individuals assess and rank their satisfaction across different combinations of goods. This makes the indication of equal satisfaction from various combinations the correct understanding of what continuous indifference curves signify about preferences.