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Math Help - [SOLVED] REALLY hard supply and demand equation

  1. #1
    Clarice123
    Guest

    Exclamation [SOLVED] REALLY hard supply and demand equation

    Pasta Imports-- During the period 1990-2001, U.S. imports of pasta increased from 290 million pounds in 1990(t=0) by an average of 40 million pounds/year.
    a) Use these data to express q, the annual U.S. imports of pasta(in millions of pounds), as a linear function of t, the number of years since 1990.
    b)Use your model to estimate U.S. pasta imports in 2005, assuming the import trend continues.

    HELP!! Please!
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  2. #2
    MHF Contributor
    Joined
    Apr 2005
    Posts
    1,631
    Linear function only?
    Okay.

    Are you familiar with y = mx +b ?
    That is the slope-intercept form of the equation of a line.
    Adapting that to your question here,

    q(t) = 290 +40*t ----------answer.

    Where
    q(t) is "q of t", is q as a function of t, is in million lbs.
    t is in years, based from year 1990.

    -----------------
    When t = 0, or in 1990,
    q(0) = 290 +40*0
    q(0) = 290 million lbs. -------this is given.

    In year 2005,
    t = 2005 -1990 = 15 years
    So,
    q(15) = 290 +40(15)
    q(15) = 290 +600
    q(15) = 890 million lbs --------answer.
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