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At the end of a snow storm, Caleb saw there was a lot of snow on his front lawn. The
temperature increased and the snow began to melt at a steady rate. The depth of
snow on Caleb's lawn, in inches, can be modeled by the equation S = -2t + 18,
where t is the time, in hours, after the snow stopped falling. What is the y-intercept
of the equation and what is its interpretation in the context of the problem?
The y-intercept of the function is

Respuesta :

The y intercept is the starting depth of the snow. In this case, it would be 18 inches (aka 1 ft + 6 inches aka 1.5 feet)

The y intercept is the starting value and it occurs when t = 0

S = -2t+18

S = -2(0)+18

S = 0+18

S = 18

At time t = 0, the depth of the snow is S = 18 inches. As t increases, the value of S will decrease.

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