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The equation y= -1777x + 27,153 can be used to predict the number y of gun deaths in the United States x years after 2000, that is x=0 corresponds to 2000, x=2 corresponds to 2002, x=5 corresponds to 2005, and so on. Predict the number of gun deaths in 2005 and 2009, In what year will the number of gun deaths be 9383?

The predicted number of gun deaths in 2005 will be?

The predicted gun deaths in 2009 will be?

The predicted number of gun deaths will be 9383 in the year?

  • Math -

    For 2005, x = 5 so
    y = -1777*5 + 27,153. Solve for y.

    For 2009, x = 9 so
    y = -1777*9 + 27,153. Solve for y.

    For the number when y = 9383, set up
    y = -1777*x + 27,153
    substitute 9383 for y.
    9383 = -1777*x + 27,153.
    Solve for x. Then convert x to the year.
    Check my thinking. Check my work.

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