algebra

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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 corresponding to 2002, x=4 corresponds to 2004, and so on. Predict the number of gun deaths in 2004 and 2008. In what year will the number of gun deaths be 9383?

• algebra -

I am going to write (t-2000) instead of x where t is the year.
y = -1777 (t-2000) + 27,153
if t = 2004 then
y = -1777 (4) + 27,153
y = -7108 + 37,153
y = 30045
Now if y = 9383
9383 = -1777 (t-2000) + 27,153
1777(t-2000) = 27153-9383
1777(t-2000) = 17770
t - 2000 = 10
t = 2010

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