Question

At the end of a snow storm, Michael 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 Michael's lawn, in inches, can be modeled by the equation S = - 2t +20,
where t is the time, in hours, after the snow stopped falling. What is the x-intercept
of the equation and what is its interpretation in the context of the problem?

Answer 1

The x-intercept of the function is 10 which represents the number of hours until all the snow has melted

Explanation:

There were 0 inches of snow on the lawn after 10 hours, the x intercept of 10 represents the number of hours after the storm stopped when all the snow had melted.

-2t+20=S

-2t+20=0

-2t =-20

t=10