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 = 4, and so on. Predict the number of gun deaths in 2004 and 2008, in what year will the number of gun deaths be 9383
gun deaths 2004??
gun deaths 2008???
the predicted number of gun deaths will be 9383 in the year 2010
I got the year 2010 by 1777=17770
x = 10 so 2000 plus 10 years = 2010
but I can't figure how to get 2004 & 2008
You did not get the year 2010 right, you forgot about the 27, 153
2004: y= -1777*4-27,153
oops, y= -1777*4+27,153
2004 deaths would be 34, 261
I need help with 2008
To find the number of gun deaths in specific years using the equation y = -1777x + 27,153, where x represents the number of years after 2000, you need to substitute the corresponding values of x into the equation.
For 2004, x would be 4 since it is four years after 2000. Plugging this value into the equation:
y = -1777(4) + 27,153
y = -7108 + 27,153
y ≈ 20,045
Therefore, the predicted number of gun deaths in 2004 is approximately 20,045.
Similarly, for 2008, x would be 8:
y = -1777(8) + 27,153
y = -14,216 + 27,153
y ≈ 12,937
Thus, the predicted number of gun deaths in 2008 is approximately 12,937.
To find the year when the number of gun deaths will be 9,383, you can rearrange the equation as follows:
9383 = -1777x + 27,153
Subtract 27,153 from both sides:
-17,770 = -1777x
Divide both sides by -1777:
x ≈ 10
Since x represents the number of years after 2000, you add 10 years to 2000 to find the corresponding year:
2000 + 10 = 2010
Therefore, the number of gun deaths is predicted to be 9,383 in the year 2010.