Q:

There are 3 in. of snow on the ground when it begins to snow 0.5 in./h . Which linear equation represents the total depth of the snow, in inches, after x hours?

Accepted Solution

A:
There are 3 in. of snow on the ground when it begins to snow 0.5 in./h.Initial depth of snow = 3 in.it begins to snow 0.5 in./h. The constant rate of snow is 0.5. So slope = 0.5Let x be the number of hoursy be the total depth of the snowTo frame linear equation we use y=mx+bwhere m is the slope and b is the y intercept (initial depth of snow)We know m=0.5  and b=3Replace it in the equationy = 0.5x + 3The linear equation that represents the total depth of the snow(y), in inches, after x hoursis y= 0.5x + 3