Q:

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 0.2 meters per week. After 7 weeks, the sheet is only 2.42 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 function's formula.S(t)=________

Accepted Solution

A:
The equation for the relationship between the thickness and number of weeks is y = 3.8 - 0.2xHow to write equation?Ice lost per week = 0.2 metersIce remaining after 7 weeks = 2.4 metersNumber of weeks = xRelationship between the thickness and number of weeks = yIce lost at 7 weeks = 7(0.2) = 1.4 metersTotal thickness of ice before loss = Ice remaining after 7 weeks + Ice lost at 7 weeks= 2.4 + 1.4= 3.8 metersThe equation:y = Total thickness of ice before loss - (Ice lost per week Γ— Number of weeks)= 3.8 - (0.2 Γ— x)y = 3.8 - 0.2xLearn more about equation: