A lake near the Arctic Circle is covered by a 222-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. y=

Given:

Initial ice sheet's thickness = 2 meter

After 3 weeks, the ice sheet's thickness = 1.25 meters

To find:

The equation for the relationship between the thickness and number of weeks.

Solution:

Let y represent the ice sheet's thickness (in meters) after x weeks.

Initial ice sheet's thickness = 2 meter

It means, the equation of relation must be satisfy by the point (0,2).

After 3 weeks, the ice sheet's thickness = 1.25 meters

It means, the equation of relation must be satisfy by the point (3,1.25).

If a linear function passes through two points, then the equation is

Add 2 on both sides.

Therefore, the required equation for the given relation is .

step-by-step explanation:

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