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Math Help - -4 degree Celsius

  1. #1
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    Smile -4 degree Celsius

    You are heating liquid in a chemistry lab. Five minutes ago, the temperature of the liquid was -4 degrees Celsius. Since then, it has been going up at a steady rate of 2 degrees per minute.

    A.Write an equation that tells you the relationship between temperature and time at any given time. designate the current time as 0.



    B. Use your equation to predict the temperature of the liquid 15 minutes from now.
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  2. #2
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    Quote Originally Posted by studman09 View Post
    You are heating liquid in a chemistry lab. Five minutes ago, the temperature of the liquid was -4 degrees Celsius. Since then, it has been going up at a steady rate of 2 degrees per minute.

    A.Write an equation that tells you the relationship between temperature and time at any given time. designate the current time as 0.



    B. Use your equation to predict the temperature of the liquid 15 minutes from now.
    This question is nothing more than getting the equation of a line.

    Let t = 0 when T = -4. Now substitute what you know into the model T = mt + c where m is the gradient and c is the T-intercept.
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    homework

    I am trying to help my 8th grade daughter with her homework here, can anybody answer this so someone that is not a math master can undeerstand it, Thanks
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  4. #4
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    Quote Originally Posted by studman09 View Post
    I am trying to help my 8th grade daughter with her homework here, can anybody answer this so someone that is not a math master can undeerstand it, Thanks
    Your daughter shuold know that the equation of a line can be written as y = mx + c where m is the gradient and c is the y-intercept. Your daughter should also know what a y-intercept is. Both these things will be in her class notes or textbook.

    In the question you've posted, y is replaced by T and x is replaced by t.

    So the equation yuo need will look like T = mt + c.

    The T-intercept (think y-intercept), that is, the value of c is given as -4 and the gradient m is given as 2.
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  5. #5
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    Quote Originally Posted by studman09 View Post
    You are heating liquid in a chemistry lab. Five minutes ago, the temperature of the liquid was -4 degrees Celsius. Since then, it has been going up at a steady rate of 2 degrees per minute.

    A.Write an equation that tells you the relationship between temperature and time at any given time. designate the current time as 0.



    B. Use your equation to predict the temperature of the liquid 15 minutes from now.
    You could use Mr. fantastic's method or you can look up somthing called Arithmetic Series.

    Where Un = a+(n-1)d

    where n is your number of term,
    d is the difference between each term, in this case = 2
    a is the first value of the term.

    Let's say, our term was five since five mins.
    We have -4=a+(5-1)*2
    Rearrange to find a.

    And you have your formula or equation.

    Hope this helps.
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