Results 1 to 2 of 2

Math Help - A Parabola Modelling Fuel Consumption

  1. #1
    Junior Member
    Joined
    Sep 2011
    Posts
    28

    A Parabola Modelling Fuel Consumption

    A car consumes gas according to the equation f(v) = (v − 10)2 + 9900 where v is its speed in km/hr and f(v) is the fuel consumption rate in ml/hr. Find the speed that gives best fuel economy, i.e., the best distance-to-fuel ratio. Hint: The idea is to minimize fuel per unit distance, not per unit time.

    Hey, I was just wondering how I would solve this problem without using Calculus. I approached it by graphing the f(v) and determining the minimum via the vertex form f(x) = (x-a)^2 + h. Are there any other methods?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4

    Re: A Parabola Modelling Fuel Consumption

    Quote Originally Posted by Manni View Post
    A car consumes gas according to the equation f(v) = (v − 10)2 + 9900 where v is its speed in km/hr and f(v) is the fuel consumption rate in ml/hr. Find the speed that gives best fuel economy, i.e., the best distance-to-fuel ratio. Hint: The idea is to minimize fuel per unit distance, not per unit time.

    Hey, I was just wondering how I would solve this problem without using Calculus. I approached it by graphing the f(v) and determining the minimum via the vertex form f(x) = (x-a)^2 + h. Are there any other methods?
    Since (v-10)^2 is non-negative the minimum fuel consumption occurs when (v-10)=0

    CB
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Functions of fuel consumption
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: September 19th 2011, 09:13 AM
  2. Replies: 1
    Last Post: February 21st 2011, 10:30 AM
  3. Modelling the equation of a parabola.
    Posted in the Calculus Forum
    Replies: 7
    Last Post: June 19th 2010, 11:44 PM
  4. Replies: 2
    Last Post: March 24th 2010, 10:04 PM
  5. Fuel Consumption Question
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: October 14th 2008, 12:30 PM

Search Tags


/mathhelpforum @mathhelpforum