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A lake near the arctic circle in 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 sheets thickness (in meters) after x weeks

Respuesta :

Answer:

y(x)   =  -0,25*x  + 2

Step-by-step explanation: If ice thickness decrease at a constant rate (for slope of a curve to be constant curve have to be a straight line.

Equation for straight line is

y(x)  =  m*x  + b

where y is tickness as function of time x is time, m slope  and b the interception with y axis

We need to find m  and b

b     when  x  =  0      y(x)  = 2   as from problem statement

therefore  b  =  2

After 3 weeks    y(x)  =  1.25

Then      1.25   =  m* (3)  + 2

3m   =  - 0,75

m   =  -  0,25

Finally  

y(x)   =  -0,25*x  + 2

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