Question

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 S(t) denote the ice sheet's thickness, S (measured in meters) as a function of time, t (measured in weeks).

WRITE THE FUNCTIONS FORMULA
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Answer 1

Answer: The equation would be: s(t) = -0.25t + 2.

This is an example of a linear equation in slope intercept form. The slope of the line is -0.25 because the ice is decrease at a rate of 0.25 inches per week.

We found this by first finding the change in the ice: 2 - 1.25 = 0.75. Then, dividing this amount by 3 weeks. 0.75 / 3 = 0.25

Then, we add in the 2 value because that is the starting thickness of the ice.