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A lake near the Arctic Circle is covered by sheet of ice during the cold winter months. When spring arrives, the ice starts to melt.\newlineSS models the ice sheet's thickness (in meters) after tt weeks.\newlineS=−0.25t+4S=-0.25t+4\newlineWhat is the ice sheet's thickness at the beginning of spring?\newlinemetersmeters

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Q. A lake near the Arctic Circle is covered by sheet of ice during the cold winter months. When spring arrives, the ice starts to melt.\newlineSS models the ice sheet's thickness (in meters) after tt weeks.\newlineS=−0.25t+4S=-0.25t+4\newlineWhat is the ice sheet's thickness at the beginning of spring?\newlinemetersmeters
  1. Identify Equation: Identify the given equation for the ice sheet's thickness.\newlineThe equation provided is S=−0.25t+4S = -0.25t + 4, where SS represents the ice sheet's thickness in meters and tt represents the time in weeks after the beginning of spring.
  2. Determine Time Value: Determine the value of tt at the beginning of spring.\newlineAt the beginning of spring, t=0t = 0 weeks, because no time has passed since the start of the melting period.
  3. Substitute and Calculate: Substitute t=0t = 0 into the equation to find the ice sheet's thickness at the beginning of spring.S=−0.25(0)+4S = -0.25(0) + 4S=0+4S = 0 + 4S=4S = 4 meters
  4. Verify Calculation: Verify that the calculation is correct and no math errors have been made. The calculation is straightforward: multiplying 00 by any number results in 00, and adding 44 to 00 gives 44.

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