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Math Help - Functions and Relations

  1. #1
    Junior Member VDestinV's Avatar
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    Question Functions and Relations

    It's me again. I don't really understand this question.

    Sam plants a groundcover that takes up 1 m^2. Groudcovers spread, and this one will take up 2^n/3 m^2 after n weeks.

    a) How much area will be occupied by the groudcover after each of the first five weeks? What type of sequence do these areas from? Explain your answer.

    b) What is the precent increase each week?

    c) If possible, rewrite the expression 2^n/3 as a compound interest expression

    d) Draw a graph to show the increase in area taken up by the groundcover from growing, how much area of Sam's garden will the groundcover occupy?

    I don't want the answer I just want to know how to do it. I have a test coming up and I don't understand this at all.
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  2. #2
    Member
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    May 2008
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    a) 2^5/3 = 32/3 m^2

    The sequence is geometric, with a = 2/3, r = 2.

    Each week it goes up by a factor of 2.


    b) Well if you double something you increase it by 100%, so, 100%.
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