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 = 3 corresponds to 2003, x = 6 corresponds to 2006, and so on. Predict the number of gun deaths in 2006 and 2009. In what year will the number of gun deaths be 9383?

Y = -1777X + 27,153.

1.For 2006, substitute 6 for X and solve the Eq.

2. F0r 2009 substitue 9 for X and solve
Eq.

3. Y = -1777X + 27,153 = 9383,
-1777X + 27,153 = 9383,
-1777X = 9383 - 27153 = -17770,
X = 10 Deaths.

To predict the number of gun deaths in a specific year using the given equation, simply substitute the value of x with the corresponding number of years after 2000.

1. To predict the number of gun deaths in 2006 (x = 6), substitute x = 6 into the equation:
y = -1777(6) + 27,153
y = -10,662 + 27,153
y = 16,491

The predicted number of gun deaths in 2006 is 16,491.

2. To predict the number of gun deaths in 2009 (x = 9), substitute x = 9 into the equation:
y = -1777(9) + 27,153
y = -15,993 + 27,153
y = 11,160

The predicted number of gun deaths in 2009 is 11,160.

To find the year when the number of gun deaths is 9383, we need to rearrange the equation to solve for x:
y = -1777x + 27,153

Substitute y = 9383 into the equation:
9383 = -1777x + 27,153

Now, solve for x by rearranging the equation:
-1777x = 9383 - 27,153
-1777x = -18,770
x = -18,770/-1777
x ≈ 10.57

Therefore, the number of gun deaths will be 9383 approximately 10.57 years after 2000. Since x = 0 corresponds to 2000, we can calculate the year by adding x to 2000:
Year ≈ 2000 + 10.57
Year ≈ 2010.57

Rounding to the nearest year, the number of gun deaths will be 9383 in the year 2011.