SOLUTION: A truck traveling at a constant speed on a reasonably staight, 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(

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A truck traveling at a constant speed on a reasonably staight, 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(      Log On

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Question 254236: A truck traveling at a constant speed on a reasonably staight, 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 fuel costs $1.40per gallon, write the cost function, c(X),that express the cost of fuel for a 500 mile trip as a function of the speed. (Hint: 500 x g(x) gallons of fule are needed to go 500 miles) [ small x= symbole of multiplication and big X= alphabetical letter X.]
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?
(thank you very much any help will be appriciated!!!! thanks again sir!!!)

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
Don't call us sir.
Not all of us are males.
Most males don't like being called sir except for military types.