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Math Help - Algebra 1 Questions About A Graph

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    Super Member nycmath's Avatar
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    Algebra 1 Questions About A Graph

    Hello. Concerning this attachment, I am concerned about part c and d. I would someone to help me answer this question. Please, see attachment. Thanks again.
    Attached Thumbnails Attached Thumbnails Algebra 1 Questions About A Graph-1236961_10201176162823572_1008209619_n.jpg  
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    Re: Algebra 1 Questions About A Graph

    If you graph out the points you find that the data is exponential growth, so in other words, the model starts linear, but then it takes a big turn up, increasing rapidly. As long as the line is going up and down, it should be smooth.
    If the curve is exponential, then the data can't be shown as a linear model, instead it is another type of model.
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    Re: Algebra 1 Questions About A Graph

    The data are a funtion of the form p(t). It starts linear then it levels up bending downard slowly with slope approching 0.
    Yes, the data can be represented by a smooth curve.
    No, the graph cannot be modeled by a straight line. It has an asymptotic trend as t increases.
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    Super Member nycmath's Avatar
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    Re: Algebra 1 Questions About A Graph

    Another question is what should I label as x-axis and y-axis on this graph to be made?

    In other words, do I let the x-axis represent time (in seconds) and the y-axis represent the total pirouettes or vice-versa?
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    Re: Algebra 1 Questions About A Graph

    Time is the independent variable.
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    Re: Algebra 1 Questions About A Graph

    I plotted every point and my picture is that of a linear function. Are you sure that the given points represent a continuous smooth curve? Thanks again for your time and reply. Can you plot the given points and show me a picture of what this model looks like on the xy- plane? I can really use your help.
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    Re: Algebra 1 Questions About A Graph

    the time increment is 10 s, the pirouettes increment is 7 up to 40 s, then it starts to decrease and the last two points the increment is only one unit. Here is the graph. This graph cannot be modeled correctly by a straight line.Algebra 1 Questions About A Graph-untitled2.gif
    Last edited by votan; September 20th 2013 at 04:44 PM. Reason: adding note
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    Re: Algebra 1 Questions About A Graph

    Great. I thought this was a function of the form f(x) = e^x.Is it exponential in growth? Is it more like a parabola? Thanks again.
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    Re: Algebra 1 Questions About A Graph

    The limited data we have is not sufficient to determine what type of function that would be. My wild guess it would be something of the form a(b + e^-x). It cannot be a branch of a prabola because y does not vary as x^2
    Last edited by votan; September 20th 2013 at 05:08 PM. Reason: added note
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    Re: Algebra 1 Questions About A Graph

    Thank you so much. I plan to visit this site more often to increase my math skills.
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    Re: Algebra 1 Questions About A Graph

    I tried a few fit functions and the best I got was actually the parabola. (The red curve.) Since it was a question I have also included the linear fit (in blue). You can easily see that the linear fit just doesn't work right. The only thing I'll say about the exponential fit is that it was really really ugly and did a lousy job. (I thought it would work, too.) See image below.

    -Dan
    Attached Thumbnails Attached Thumbnails Algebra 1 Questions About A Graph-fit.jpg  
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    Re: Algebra 1 Questions About A Graph

    You are right, a branch of a parabola. I haven't attemted best fit. I was absent minded about it.
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    Re: Algebra 1 Questions About A Graph

    Thank you very much everyone.
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    Re: Algebra 1 Questions About A Graph

    Votan,
    I posted another question about parameter changes and did not realize that my name is on the sheet. How can I delete the uploaded picture?
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    Re: Algebra 1 Questions About A Graph

    I realized that. Go to the bottom of the page and use the contact us link. The operator could delete it.
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