The marginal rate of substitution (MRS) represents the rate at which a consumer is willing to give up one good in exchange for another while maintaining the same level of utility. It indicates the trade-off between two goods and reflects consumer preferences, showing how much of one good a person is ready to sacrifice for an additional unit of another good without changing their satisfaction level. MRS is crucial for understanding consumer choice, as it helps illustrate how individuals allocate resources among different goods based on their preferences.