A lake near the Arctic Circle is covered by a 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 rate of 0.20.20, point, 2 meters per week. After 777 weeks, the sheet is only 2.42.42, point, 4 meters thick.
Let S(t), denote the ice sheet's thickness S (measured in meters) as a function of time t (measured in weeks).
The function's formula is S(t) = 3.82 - 0.2t
This happens because: after 7 weeks, the ice is 2.42 meters thick. The ice loses 0.2 meters of thickness per week; this means that in the 7th week, it has lost 7(0.2) = 1.4 meters of thickness.
This means the ice started at 2.42+1.4 = 3.82 meters thick.
Our function will start at the original thickness of the ice, 3.82 meters.
Since the ice is losing thickness, we will subtract; it loses at a rate of 0.2 meters per week (t), which gives us 0.2t. This is subtracted from the original, 3.82 meters, giving us S(t) = 3.82 - 0.2t
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