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Math Help - Functions

  1. #1
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    Functions

    See attachment for picture of graph...

    Question:
    Doug's biology experiment involved timing 12 hamsters in a maze. Each hamster received at least one practice before being timed. The scatterplot shows the time each hamster took to complete the maze and the corresponding number of practices that each hamster received. Based on the data, which of the following functions best models the relationship between t, the number of seconds to complete the maze, and p, the number of practices?

    a. t(p) = 44
    b. t(p) = p
    c. t(p) = 44p
    d. t(p) = p/44
    e. t(p) = p + 44

    Any help is appreciated!! Please explain how you arrived at your answer.
    THANK YOU
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by math_help08 View Post
    See attachment for picture of graph...

    Question:
    Doug's biology experiment involved timing 12 hamsters in a maze. Each hamster received at least one practice before being timed. The scatterplot shows the time each hamster took to complete the maze and the corresponding number of practices that each hamster received. Based on the data, which of the following functions best models the relationship between t, the number of seconds to complete the maze, and p, the number of practices?

    a. t(p) = 44
    b. t(p) = p
    c. t(p) = 44p
    d. t(p) = p/44
    e. t(p) = p + 44

    Any help is appreciated!! Please explain how you arrived at your answer.
    THANK YOU
    Well by the look of the scatter plot t(p) can be represented by a straight line that has an intercept close to 45, so that excludes b, c and d.

    The line is more or less horizonal (and cretainly has a gradient less than 1) which indicates that a is probably the best fit of the given cases.

    CB
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