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Math Help - Rates with a water container question?

  1. #1
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    Rates with a water container question?

    I have this question:

    Water is pouring into a container at a rate given by ri(t)=t^3(gallons/hour) and water is pouring out of the same container at a rate given by ro(t)=e^t(gallons/hour) If there are 100 gallons of water at time t= 0, how many gallons of water will be in the container at t = 4 hours?

    Now I'm normally pretty good with this sort of question and I can figure out r and then put in 4 for t, but I'm having a lot of trouble figuring out r because when I put t=0 into either eqaution with gallons=100 I end up with everything equaling 0. :/ Any help? Thanks!
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  2. #2
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    Re: Rates with a water container question?

    Rates with a water container question?-wp_20140414_001.jpg

    So with the answer I wrote down you need to do 165 - my answer

    165 - 54.6 = 110.4 gallons
    Thanks from canyouhelp
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  3. #3
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    Re: Rates with a water container question?

    Quote Originally Posted by infkelsier View Post
    Click image for larger version. 

Name:	WP_20140414_001.jpg 
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    So with the answer I wrote down you need to do 165 - my answer

    165 - 54.6 = 110.4 gallons
    Thanks so much! My professor had us doing it another way and he didn't explain it too well, this makes more sense.
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