To find the number of gun deaths in 2005 and 2007, we need to substitute the corresponding values of x into the equation.
Let's start with 2005 (x = 2005 - 2000 = 5):
y = 1777x + 27,153
y = 1777 * 5 + 27,153
y = 8,885 + 27,153
y = 36,038
Therefore, the predicted number of gun deaths in 2005 is 36,038.
Now, let's find the number of gun deaths in 2007 (x = 2007 - 2000 = 7):
y = 1777x + 27,153
y = 1777 * 7 + 27,153
y = 12,439 + 27,153
y = 39,592
Hence, the predicted number of gun deaths in 2007 is 39,592.
Next, let's find the year when the number of deaths will be 11,160.
11,160 = 1777x + 27,153
Now, let's solve for x:
Subtract 27,153 from both sides:
11,160 - 27,153 = 1777x
Combine like terms:
-15,993 = 1777x
Divide both sides by 1777:
x = -15,993 / 1777
x ≈ -9
Since x represents years after 2000, we can conclude that the number of deaths would be 11,160 approximately 9 years before 2000, which would be around the year 1991.
So, in 1991, the number of gun deaths would be predicted to be 11,160.