the equation y=1777x+27,153 can be used to predict the number Y of gun deaths in the US 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 2009, In what year will the number of gun deaths be 7606?
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To predict the number of gun deaths in a specific year using the given equation, y = 1777x + 27,153, where x is the number of years after 2000, we need to substitute x with the corresponding value for each year.
1. To predict the number of gun deaths in 2004 (x = 4):
y = 1777(4) + 27,153
y = 7108 + 27,153
y ≈ 34,261
2. To predict the number of gun deaths in 2009 (x = 9):
y = 1777(9) + 27,153
y = 15,993 + 27,153
y ≈ 43,146
To find the year when the number of gun deaths will be 7606, we can rearrange the equation to solve for x:
7606 = 1777x + 27,153
Subtracting 27,153 from both sides, we get:
7606 - 27,153 = 1777x
-19,547 = 1777x
Dividing both sides by 1777, we get:
x ≈ -11
Since we are counting years after 2000, a negative value for x doesn't make sense. Therefore, there is no solution for when the number of gun deaths will be exactly 7606 based on the given equation.