Can someone please help me with this Algebra problem.

The equation y= -1777x + 27,153 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=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?

Predict the number of deaths in 2006

Predict gun deaths in 2007

The predicted number of gun deaths will be 11,160 in the year ____?

x-6 in 2006?

x=6

For "Predict the number of deaths in 2006 " sub in x=6 into the equation ...

y = -1777(6) = 27153 = 16491

for "Predict the number of deaths in 2007 " let x=7 and repeat as above

For " In what year will the number of gun deaths be 11,160?" set y = 11160 and solve for x ,
then add x to 2000

11160 = -1777x + 27153
1777x = 27153 - 11160
etc

To predict the number of gun deaths in a specific year, you need to substitute the corresponding value of x into the given equation.

To predict the number of gun deaths in 2006, substitute x = 6 into the equation y = -1777x + 27,153:

y = -1777(6) + 27,153
y = -10,662 + 27,153
y = 16,491

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

To 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

Therefore, the predicted number of gun deaths in 2007 is 14,714.

To find the year when the number of gun deaths is 11,160, we can set the equation equal to this value and solve for x:

11,160 = -1777x + 27,153
Subtracting 27,153 from both sides:
-16,993 = -1777x
Dividing both sides by -1777:
x ≈ 9.56

Since x represents the number of years after 2000, we can round up x to the nearest whole number, which gives us 10. Therefore, the number of gun deaths will be 11,160 in the year 2010.