The equation y =-1777+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=6 corresponds to 2006, and so. Predict the number of gun deaths in 2006 and 2007. In what year will the number of gun deaths be 11,160?
9 years. x=9
i need 2007, 2008 and what will for 11,160 gun deaths
To use the equation y = -1777x + 27,153, where x represents the number of years after 2000, you can substitute the values of x to find the corresponding values of y.
1. Predict the number of gun deaths in 2006:
Substitute x = 6 into the equation:
y = -1777(6) + 27,153
y = -10,662 + 27,153
y ≈ 16,491
So, the predicted number of gun deaths in 2006 is approximately 16,491.
2. Predict the number of gun deaths in 2007:
Substitute x = 7 into the equation:
y = -1777(7) + 27,153
y = -12,439 + 27,153
y ≈ 14,714
So, the predicted number of gun deaths in 2007 is approximately 14,714.
3. Find the year when the number of gun deaths will be 11,160:
Set y = 11,160 in the equation and solve for x:
11,160 = -1777x + 27,153
-16,993 = -1777x
x ≈ 9.561
Since x represents the number of years after 2000, x = 9.561 corresponds to 2009 or 2010 (depending on whether you consider partial years). Therefore, the number of gun deaths will be 11,160 around the year 2009 or 2010.