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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.

S models the ice sheet's thickness (in meters) after 
t weeks.

S=-0.25 t+4
What is the ice sheet's thickness at the beginning of spring?
meters

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.\newlineS S models the ice sheet's thickness (in meters) after t t weeks.\newlineS=0.25t+4 S=-0.25 t+4 \newlineWhat is the ice sheet's thickness at the beginning of spring?\newlinemeters

Full solution

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.\newlineS S models the ice sheet's thickness (in meters) after t t weeks.\newlineS=0.25t+4 S=-0.25 t+4 \newlineWhat is the ice sheet's thickness at the beginning of spring?\newlinemeters
  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 thickness of the ice sheet in meters, and tt represents the time in weeks since the beginning of spring.
  2. Determine Initial Time: 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 t=0t = 0: Substitute t=0t = 0 into the equation to find the thickness of the ice sheet at the beginning of spring.\newlineS=0.25(0)+4S = -0.25(0) + 4\newlineS=0+4S = 0 + 4\newlineS=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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