SOLUTION: A truck traveling at a constant speed on a reasonably straight, level road burns fuel at the rate of g(x) gallons per mile, where x is the speed of the truck in miles per hour and

Question 253732: A truck traveling at a constant speed on a reasonably straight, level road burns fuel at the rate of g(x) gallons per mile, where x is the speed of the truck in miles per hour and g(x) is given by g(x) = 800+x^2/200x.
a.) If the fuel cost $1.40 per gallon, write the cost function, c(x), that expresses the cost of fuel for a 500-mile trip as a funstion of the speed, (Hint: 500 X g(x) gallons of fuel are needed to go 500 miles)
b.) What driving speed will make the cost of fuel for the trip $250?
c.) What driving speed will minimize the cost of fuel for the trip?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
There has to be something wrong here
g(x) = 800+x^2/200x.
You have x^2 over 200x which naturally removes the x^2

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