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 ____?
No one has answered this question yet.
To solve this problem, we will use the given equation y = -1777x + 27,153, where y represents the number of gun deaths and x represents the number of years after 2000.
To predict the number of gun deaths in 2006, we need to substitute x=6 into the equation because x=0 corresponds to the year 2000 and x=6 corresponds to 2006.
Let's calculate it:
y = -1777(6) + 27,153
y = -10,662 + 27,153
y ≈ 16,491
Therefore, the predicted number of gun deaths in 2006 is approximately 16,491.
To predict the number of gun deaths in 2007, we follow the same process. We substitute x=7 into the equation because x=0 corresponds to the year 2000 and x=7 corresponds to 2007.
Let's calculate it:
y = -1777(7) + 27,153
y = -12,439 + 27,153
y ≈ 14,714
Therefore, the predicted number of gun deaths in 2007 is approximately 14,714.
To find the year when the number of gun deaths will be 11,160, we need to solve the equation y = 11,160 for x.
Let's set it up:
11,160 = -1777x + 27,153
Now, let's solve for x:
-1777x = 11,160 - 27,153
-1777x = -15,993
x ≈ 9
This means that x=9 corresponds to the year when the number of gun deaths will be 11,160. Since x=0 corresponds to the year 2000, x=9 will correspond to 2000 + 9 = 2009.
Therefore, the number of gun deaths will be 11,160 in the year 2009.