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Math Help - sugar dissolving

  1. #1
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    sugar dissolving

    The mass M in grams of undissolved sugar left in a teacup after t seconds is given by: M=10.5-0.4t^2
    When will all the sugar dissolve?
    M=10.5-0.4t^2
    -10.5=-0.4t^2
    -10.5/-0.4=t^2
    sqroot26.25=t
    5.12s=t
    can someone plz check if i did it right or can direct me in a right direction. Help would be appreciated.
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  2. #2
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    You're solving for M=0. Your work looks right.
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  3. #3
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    Quote Originally Posted by crystal91 View Post
    The mass M in grams of undissolved sugar left in a teacup after t seconds is given by: M=10.5-0.4t^2
    When will all the sugar dissolve?
    M=10.5-0.4t^2
    -10.5=-0.4t^2
    -10.5/-0.4=t^2
    sqroot26.25=t
    5.12s=t
    can someone plz check if i did it right or can direct me in a right direction. Help would be appreciated.
    If t= 5.12 then M= 10.5- 0.4(5.12)^2= 10.6- 0.4(26.2144)= 10.5- 10.48576=0.01424 so your answer is approximately correct. It might be better to leave the answer as t= \sqrt{26.25} or t= \frac{\sqrt{105}}{2}.
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