SOLUTION: A gas station sells 4820 gallons of regular enleaded gasoline on a day when they charge $1.35 per gallon, whereas they sell 3883 gallons on a day that they charge $1.40 per gallon.

Algebra ->  College  -> Linear Algebra -> SOLUTION: A gas station sells 4820 gallons of regular enleaded gasoline on a day when they charge $1.35 per gallon, whereas they sell 3883 gallons on a day that they charge $1.40 per gallon.      Log On


   



Question 412961: A gas station sells 4820 gallons of regular enleaded gasoline on a day when they charge $1.35 per gallon, whereas they sell 3883 gallons on a day that they charge $1.40 per gallon. Find a linear function that expresses gallons sold a function of price.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let g = gallons sold per day
Let p= price of gas on that day
+%28g+-+3883%29+%2F+%28p+-+1.4%29+=+%284820+-+3883%29+%2F+%281.35+-+1.4%29
+%28g+-+3883%29+%2F+%28p+-+1.4%29+=+937+%2F++%28-.05%29
Multiply both sides by %28-.05%29%2A%28p+-+1.4%29
%28-.05%29%2A%28g+-+3883%29+=+937%2A%28p+-+1.4%29
-.05g+%2B+194.15+=+937p+-+1311.8
-.05g+=+937p+-+1505.95
g+=+-18740p+%2B+30119
This function seems to work for the points given:
(1.35,4820) and (1.4,3883)
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interesting point: If they give the gas away (p = 0)
they will sell 30119 gallons