Problema Solution
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 2007. In what year will the number of gun deaths be 11,160?
Answer provided by our tutors
For 2006 and 2007, x = 6 and x =7.
Plug that in for x in the equation:
y = 1777(6) + 27,153
y = 10662 + 27153
y = 37,815.
For x = 7:
y = 1777(7) + 27,153
y = 12439 + 27153
y = 39,592.
The second part you know y (11,160), so find x:
11,160 = 1777x + 27,153
Subtract 27153 from both sides:
-15993 = 1777x
Divide both sides by 1777:
x = -9.
That means in 1991, the gun deaths were 11,160.