The equation y=-1777x+27,152 can be used to predict the number of y of gun deaths in the U.S. x years after 2000, that is x=0 corresponds to 2000, x=3 corresponds to 2003, x=4 corresponds to 2004 and so on. Predict the number of gun deaths in 2004 and 2007. In what year will the number of gun deaths be 12,937?

number of gun deaths in 2004?

number of gun deaths in 2007?

what year will the number of gun deaths be 12,937?

To predict the number of gun deaths in a specific year using the given equation, y = -1777x + 27,152, we need to substitute the appropriate value of x into the equation.

1. Number of gun deaths in 2004 (x = 4):
Substitute x = 4 into the equation:
y = -1777(4) + 27,152
y = -7108 + 27,152
y = 19,044
Therefore, the predicted number of gun deaths in 2004 is 19,044.

2. Number of gun deaths in 2007 (x = 7):
Substitute x = 7 into the equation:
y = -1777(7) + 27,152
y = -12,439 + 27,152
y = 14,713
The predicted number of gun deaths in 2007 is 14,713.

3. To find the year when the number of gun deaths will be 12,937:
Substitute y = 12,937 into the equation:
12,937 = -1777x + 27,152
Rearrange the equation to solve for x:
-1777x = 12,937 - 27,152
-1777x = -14,215
x = -14,215 / -1777
x ≈ 7.997
Since x represents the number of years after 2000, the value of x ≈ 8 suggests 8 years after 2000.
Therefore, the predicted year when the number of gun deaths will be 12,937 is 2008.