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Math Help - quadratic relation word problem

  1. #1
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    quadratic relation word problem

    The main character in a video game, Tammy, must swing on a vine to cross a river. If she grabs the vine at a point that is too low and swings within 80cm of the surface of the river, a crocodile will come out of the river and catch her. From where she is standing on the riverbank, Tammy can reach a point on the vine where her height above the river, h, is modeled by the relation h = 6x2 - 56.8x + 228, where x is the horizontal distance from her swing from her starting point. Should Tammy jump?

    Can anyone help me with solving this problem?
    I think I have to use the quadratic formula, and plug in 6 for a, -56.8 for b, and c will become 228 - 80 = 148. but when I do that, I get a negative number underneath the square root sign. Since this is not possible, does this mean that she should not jump?

    Any help would be great. Thanks.
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  2. #2
    MHF Contributor Siron's Avatar
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    Re: quadratic relation word problem

    There's indeed no x value wherefore:
    80=6x^2-56,8x+228, so that means she'll never reach the 80cm but she will always be higher then that point.
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  3. #3
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    Re: quadratic relation word problem

    thank you so much for your help! I really appreciate it. and you helped me make sense of the question with your help!!!!!!! and thanks for responding so quickly!!!!!!!!

    Everyone should use this site. It's the best. Fastest help ever.

    -Amanda
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