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 equation y = -1777x + 27,152, where x is the number of years after 2000, we can substitute the values of x into the equation and solve for y.

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

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

3. Year when the number of gun deaths is 12,937 (y = 12,937):
Rearrange the equation to solve for x: x = (y - 27,152) / -1777
Substitute y = 12,937 into the rearranged equation: x = (12,937 - 27,152) / -1777
Simplify: x = -14,215 / -1777
Calculate: x ≈ 7.99

Since x represents the number of years after 2000, take the ceiling value of 7.99 to get the closest whole number.
Therefore, in the year 2008, the number of gun deaths would be approximately 12,937.

To summarize:
- Number of gun deaths in 2004: 19,044
- Number of gun deaths in 2007: 14,713
- Year when the number of gun deaths equals 12,937: 2008