SOLUTION: A home uses 8 gallons of oil each day for heat. If it's oil storage tank is filled to 275 gallons, the function y=275-8x represents the number of gallons remaining in the tank afte

Algebra ->  Coordinate-system -> SOLUTION: A home uses 8 gallons of oil each day for heat. If it's oil storage tank is filled to 275 gallons, the function y=275-8x represents the number of gallons remaining in the tank afte      Log On


   

Question 935900: A home uses 8 gallons of oil each day for heat. If it's oil storage tank is filled to 275 gallons, the function y=275-8x represents the number of gallons remaining in the tank after x days of use. Explain what the x-intercept represents and determine when the tank would be half full.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+y+=+275+-+8x+
The x-intercept is the point ( x,0 )
Since +y+=+0+ at the x-intertcept, this
is the point where the remaining gallons
of oil in the tank = +0+, and the value
of +x+ will be the number of days to
use up all +275+ gallons
-------------------------------
The tank will be half full when the remaining
gallons = +275%2F2+, so I can say:
+275%2F2+=+275+-+8x+
Multiply both sides by +2+
+275+=+550+-+16x+
+16x+=+550+-+275+
+16x+=+275+
+x+=+17.1875+
The tank will be half full during the 17th day