Results 1 to 9 of 9

Math Help - Math Word Problem: Rational Functions

  1. #1
    Newbie
    Joined
    Sep 2012
    From
    US
    Posts
    13

    Math Word Problem: Rational Functions

    Experiments conducted by A.J. Clark suggest that the response R(x) of a frog's heart muscle to the injection of x units of acetylcholine (as a percent of the maximum possible effect of the drug) may be appromixated by the rational function
    R(x)=100x/b+x (x greater than or equal to 0)
    where b is a positive constant that depends on the particular frog.
    a. If concentration of 40 units of acetylcholine produces a response of 50% for a certain frog, find the "response function" for this frog.

    I am so confused by this problem. For my answer I have 98.77.

    Help would be greatly appreciated.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member MaxJasper's Avatar
    Joined
    Aug 2012
    From
    Canada
    Posts
    482
    Thanks
    55

    Lightbulb Re: Math Word Problem: Rational Functions

    Quote Originally Posted by AntoninaFinn View Post
    Experiments conducted by A.J. Clark suggest that the response R(x) of a frog's heart muscle to the injection of x units of acetylcholine (as a percent of the maximum possible effect of the drug) may be appromixated by the rational function R(x)=100x/b+x (x greater than or equal to 0)
    where b is a positive constant that depends on the particular frog.
    a. If concentration of 40 units of acetylcholine produces a response of 50% for a certain frog, find the "response function" for this frog. I am so confused by this problem. For my answer I have 98.77.
    b = 400.
    Last edited by MaxJasper; September 10th 2012 at 06:25 PM.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Sep 2012
    From
    US
    Posts
    13

    Re: Math Word Problem: Rational Functions

    I don't think that's right. Aren't they asking for a function?
    And what is with all of those x's?
    It said to find the "response function". But thanks anyway.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Senior Member MaxJasper's Avatar
    Joined
    Aug 2012
    From
    Canada
    Posts
    482
    Thanks
    55

    Re: Math Word Problem: Rational Functions

    Quote Originally Posted by AntoninaFinn View Post
    I don't think that's right. Aren't they asking for a function?
    And what is with all of those x's?
    It said to find the "response function". But thanks anyway.
    R(x)=100x/b+x where b=400
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Newbie
    Joined
    Sep 2012
    From
    US
    Posts
    13

    Re: Math Word Problem: Rational Functions

    Sorry, Max but that still isn't helping me.
    How did you get the 400?
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Newbie
    Joined
    Sep 2012
    From
    US
    Posts
    13

    Re: Math Word Problem: Rational Functions

    How does the 50% play into the whole function? They said to find the response function, so are you saying that the response function is R(x)=100x/b+x ?
    And for the 40 units of acetylcholine, do I substitute into the function that they give me, such as R(40)=100(40)/b+40.
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Newbie
    Joined
    Sep 2012
    From
    US
    Posts
    13

    Re: Math Word Problem: Rational Functions

    Since part (b) of the problem says that I have to use the model that I found in part (a) to find the response of the frog's heart muscle when 60 units of acetylcholine are administered.
    Follow Math Help Forum on Facebook and Google+

  8. #8
    Senior Member MaxJasper's Avatar
    Joined
    Aug 2012
    From
    Canada
    Posts
    482
    Thanks
    55

    Re: Math Word Problem: Rational Functions

    Yes, just calculate R(60)=?%
    Follow Math Help Forum on Facebook and Google+

  9. #9
    Newbie
    Joined
    Sep 2012
    From
    US
    Posts
    13

    Re: Math Word Problem: Rational Functions

    ?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Rational functions - word problem
    Posted in the Algebra Forum
    Replies: 4
    Last Post: April 11th 2010, 05:38 PM
  2. Word Problem - Rational Equation??
    Posted in the Algebra Forum
    Replies: 4
    Last Post: March 31st 2010, 10:05 AM
  3. Rational Function..word problem..HELP!!!
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: January 10th 2009, 07:20 AM
  4. Rational equation word problem.. help plz
    Posted in the Math Topics Forum
    Replies: 2
    Last Post: October 4th 2008, 06:54 PM
  5. Rational Word Problem
    Posted in the Algebra Forum
    Replies: 1
    Last Post: December 2nd 2007, 06:01 PM

Search Tags


/mathhelpforum @mathhelpforum