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Math Help - A few questions about secants.

  1. #1
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    A few questions about secants.

    1) An automobile's distance is given by d = 30t (t in seconds and d in metres):

    a) Graph the function using a suitable scale and any means at your disposal
    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 (in part b).
    d) Explain your results from part c).

    The biggest problem I have with this question is that lines do not have secants. If that is true, are there any other methods which can be used to find the answers? Help with determining the equations of the secants will also be appreciated.

    Any idea how to do this?
    Last edited by Bilal7; June 10th 2014 at 05:18 PM.
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  2. #2
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    Re: A few questions about secants.

    The segments between (2, 60) and the other points ARE the secants...
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    Re: A few questions about secants.

    Quote Originally Posted by Prove It View Post
    The segments between (2, 60) and the other points ARE the secants...
    How would I determine the equations for the secants? Wouldn't the equations for all of them just be d = 30t again?

    Thankyou for your time.
    Last edited by Bilal7; June 10th 2014 at 06:10 PM.
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  4. #4
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    Re: A few questions about secants.

    Yes, that is correct. The secants to a straight line, just like tangents to a straight line, are just that same straight line.
    (This is a peculiar question. We often have a problem that asks for a series of shorter and shorter secants to a curve, basically to show that they "converge" to the tangent to the curve. But with a straight line that point is sort of lost!)
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