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 ____?
To solve these problems, we will use the equation y = -1777x + 27,153, where y represents the number of gun deaths and x represents the number of years after 2000.
1. Predict the number of gun deaths in 2006:
To find the number of gun deaths in 2006, we need to substitute x = 6 into the equation. So, we have:
y = -1777(6) + 27,153
Now, we can simplify the equation:
y = -10,662 + 27,153
y = 16,491
Therefore, the predicted number of gun deaths in 2006 is 16,491.
2. Predict the number of gun deaths in 2007:
To find the number of gun deaths in 2007, we need to substitute x = 7 into the equation. So, we have:
y = -1777(7) + 27,153
Now, we can simplify the equation:
y = -12,439 + 27,153
y = 14,714
Therefore, the predicted number of gun deaths in 2007 is 14,714.
3. In what year will the number of gun deaths be 11,160?
To find the year when the number of gun deaths is 11,160, we need to substitute y = 11,160 into the equation and solve for x. So, we have:
11,160 = -1777x + 27,153
Now, let's isolate the x variable:
-1777x = 11,160 - 27,153
-1777x = -15,993
Dividing both sides by -1777, we get:
x = -15,993 / -1777
x ≈ 9
So, the number of gun deaths will be 11,160 in the year 2009.
I hope this helps! Let me know if you have any further questions.