Algebra gun death word problem ?

Question

The equation y= - 1777+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=2 corresponds to 2002, x=5 corresponds to 2005 and so on. predict the number of gun deaths in 2005 and 2007. In what year will the number of gun deaths be 11,160?

The total in 2005 will be ----?

The total in 2007 will be ----?

In the year ----? gun deaths will = 11,160

Answer 1

you are missing the x variable in your equation but i guess you meant:

y(x) = -1777x + 27153 , number of gun deaths

2005: x = 5, y(5) = -1777 * 5 + 27153 = 18268 deaths

2007: x = 7, y(7) = -1777 * 7 + 27153 = 14714 deaths

y(x) = -1777*x + 27153

11160 = -1777x + 27153

1777x = 27153 - 11160

x = 15993 / 1777

x = 9

year 2009

Answer 2

In 2005, x = 5:

y = -1777x + 27,153 = -1777(5) + 27,153 = 18,268

In 2007, x = 7:

y = -1777(7) + 27,153 = 14,714

y = 11,160, solve for x:

11,160 = -1777x + 27,153

1777x = 15,993

x = 9

Year: 2009