Answer:
hours after midnight or at 4:40 am the depth of the snow on the ground was 8 inches.
Explanation:
Consider the provided information.
Let x represents the number of hours and S(x) represents the depth of snow.
There was no snow on the ground when it started falling at midnight at a constant rate of 1.5 inches per.
That means the depth of snow will be:

At 4:00 a.m., it starting falling at a constant rate of 3 inches per hour,

7:00 a.m. to 9:00 a.m., snow was falling at a constant rate of 2 inches per hour.

The required piece-wise linear function is

Now we need to find When was the depth of the snow on the ground 8 inches?
Substitute S(x)=8 in






hours after midnight or at 4:40 am the depth of the snow on the ground was 8 inches.