Final answer:
The correct equation for D'unte paying off his debt of $466 is (x - 466 = 0), which implies the debt is fully paid when D'unte pays $466.
Step-by-step explanation:
The question you've asked is related to writing an equation to represent D'unte paying off a debt of $466. The correct equation that shows how D'unte would pay off his debt is option C: (x - 466 = 0). This equation implies that D'unte would need to pay $466, which, once paid, would leave no debt remaining.
In the equation, x represents the total amount D'unte pays. When D'unte pays $466, subtracting this amount from his total payment x results in 0, indicating the debt is fully paid.