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Math Help - [SOLVED] Help with Secants question

  1. #1
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    [SOLVED] Help with Secants question

    I have a Secants question that I have to hand in tomorrow morning, and it just seems a bit odd to me.. Anyone mind helping me out? I asked this before but didn't receive an answer:

    67 An automobile's distance is given by d=30t (t in seconds, d in metres)

    a) Graph the function (it is a straight line)

    b) Draw the secants from the point (2,60) to each of the points on the graph ending at t=3,2.5,2.1,1.01

    c) Determine the equations of each of the secants above

    d) Explain your results from c

    Will not all of my secants run straight through my line? How can I even draw them if I am drawing 4 lines on top of each other?
    The equations of my secants will be different because they start at different points on the line.. Does anyone know why they want me to draw 4 secants through the same line?

    Thanks
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  2. #2
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    Quote Originally Posted by Slipery View Post
    I have a Secants question that I have to hand in tomorrow morning, and it just seems a bit odd to me.. Anyone mind helping me out? I asked this before but didn't receive an answer:

    67 An automobile's distance is given by d=30t (t in seconds, d in metres)

    a) Graph the function (it is a straight line)

    b) Draw the secants from the point (2,60) to each of the points on the graph ending at t=3,2.5,2.1,1.01

    c) Determine the equations of each of the secants above

    d) Explain your results from c

    Will not all of my secants run straight through my line? How can I even draw them if I am drawing 4 lines on top of each other?
    The equations of my secants will be different because they start at different points on the line.. Does anyone know why they want me to draw 4 secants through the same line?

    Thanks
    You are right, that is a very peculiar question! A "secant" of a circle is a line that passes through the circle, cutting it in two points. By extension, a "secant" of a curve is any line that cuts the curve in two points. Yes, this is a straight line and any line crossing it in two points is exactly the same line and the equation of each secant is just d= 30t again.
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  3. #3
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    Alright, I just needed someone to confirm that.. Second time I've asked the question, so thank you so much for answering..
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