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Math Help - Write a function...

  1. #1
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    Write a function...

    In March 2006, the Bureau for Economic Analysis (BEA) issued a press release detailing per capita income rankings for the states. An excerpt is provided...
    "Connecticut led the nation with a per capita income 38 percent above the national average. Louisiana's per capital income was 28 percent below the national average"
    Write the equation of a function that relates the per capita income of Connecticut to the per capita income of Louisiana.



    This is my first time posting here so I'm still a little confused, if I did anything wrote with where/how I posted this please just let me know!

    Any help is appreciated! Thank you so much!
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  2. #2
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    Re: Write a function...

    Hello, NRK0208!

    Connecticut led the nation with a per capita income 38 percent above the national average.
    Louisiana's per capital income was 28 percent below the national average.
    Write the equation of a function that relates the per capita income of CT to the per capita income of LA.

    Let a = the national average.

    Then: . \begin{Bmatrix}CT \;=\;1.38a & \;\Rightarrow\; & a \;=\; \dfrac{CT}{1.38} & [1] \\ \\ LA \; =\; 0.72a & \Rightarrow & a \;=\; \dfrac{LA}{0.72} & [2] \end{Bmatrix}


    Equate [1] and [2]: . \dfrac{CT}{1.38} \:=\:\dfrac{LA}{0.72} \quad\Rightarrow\quad \dfrac{CT}{LA} \:=\:\dfrac{1.38}{0.72}


    Therefore: . CT \:=\:\dfrac{23}{12}LA
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    Re: Write a function...

    Thanks so much!!!!!!!
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