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A lake near the Arctic Circle is covered by a $2$-meter-thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. After $3$ weeks, the sheet is only $1.25$ meters thick. Let $y$ represent the ice sheet's thickness (in meters) after $x$ weeks. Complete the equation for the relationship between the thickness and number of weeks.