Results 1 to 4 of 4

Math Help - Average Rate of Change

  1. #1
    Member
    Joined
    Feb 2010
    From
    United States
    Posts
    155
    Thanks
    1

    Average Rate of Change

    A company that makes wooden toys has determined that the cost of producing toys is given by the function C(x) =x^2 + 7. Find the average rate of change in cost for increasing production from x =1 units to x = 4 units.

    I thought I knew how to do these but I consistently get this problem wrong. Where do I start with it?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member
    Joined
    Jun 2009
    Posts
    68
    Rate of change is defined by a derivative. In calculus, the average is defined by:
     \frac{1}{T_2 - T_1} \int\limits_{T_1}^{T_2} f(x)\, dx

    To sum, you need to find:
     \frac{1}{T_2 - T_1} \int\limits_{T_1}^{T_2} f'(x)\, dx=\frac{f(T_2)-f(T_1)}{T_2-T_1}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Feb 2010
    From
    United States
    Posts
    155
    Thanks
    1
    Ahhh okay. So the answer should be 5, correct?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Junior Member
    Joined
    Jun 2009
    Posts
    68
    Quote Originally Posted by bobsanchez View Post
    Ahhh okay. So the answer should be 5, correct?
    That's what I calculated.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Average rate of change
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: October 18th 2010, 12:52 PM
  2. Average Rate Of Change
    Posted in the Calculus Forum
    Replies: 3
    Last Post: August 3rd 2010, 12:19 PM
  3. Average Rate of Change
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: October 28th 2009, 01:54 PM
  4. average rate of change
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: September 27th 2009, 09:22 AM
  5. Average rate of change
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: September 15th 2009, 01:10 AM

Search Tags


/mathhelpforum @mathhelpforum