Question 80620: A snow storm lasts for 9 hours and dumps snow at a rate of 1.5 in./hr. If there was already 6 in. of snow on the ground before the storm, the snow depth is given by the equation: y = 3/2x +6, where y is the snow depth in inches and
x is the time in hours.
a)Find the snow depth at the end of the storm
b) How long had it snowed when the total snow depth was 15in?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! snow storm lasts for 9 hours and dumps snow at a rate of 1.5 in./hr. If there was already 6 in. of snow on the ground before the storm, the snow depth is given by the equation: y = (3/2)x + 6, where y is the snow depth in inches and
x is the time in hours.
:
a)Find the snow depth at the end of the storm
:
x is given as time so, substitute 9 for x in the equation y = (3/2)x + 6
y = (3/2)*9 + 6
y = (27/2) + 6
y = 13.5 + x
y = 19.5 inches in 9 hrs
:
:
b) How long had it snowed when the total snow depth was 15in?
:
Snow depth given as y so substitute 15 for y in the same equation;
15 = (3/2)x + 6
or
1.5x + 6 = 15; decimal will work better here
1.5x = 15 - 6; subtracted 6 from both sides
1.5x = 9
x = 9/1.5; divide both sides by 1.5
x = 6 hrs
:
Check using x=6
y = (3/2)6 + 6
y = 9 + 6
y = 15 inches
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