The equation y=-1777x+27153 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 corresponds to 2004, and so on. Predict the number of deaths in 2004 and 2009. In what year will the number of deaths be 7606?
For 2004:
the deaths:....
y=-1777(4)+27153
Solve for y.
For 2009:
deaths....
y=-1777(9)+27153
solve for y.
To find the number of deaths in years...
7606=-1777x +27153
and solve for x.
Post your answers and i can check them if you want.
To predict the number of gun deaths in a specific year, we need to substitute the value of x (years after 2000) into the equation y = -1777x + 27153.
1. Predicting the number of deaths in 2004:
To find the number of deaths in the year 2004, we need to calculate the value of y when x = 4.
Substituting x = 4 into the equation:
y = -1777(4) + 27153
y = -7108 + 27153
y = 20045
Therefore, the predicted number of gun deaths in 2004 is 20,045.
2. Predicting the number of deaths in 2009:
To find the number of deaths in the year 2009, we need to calculate the value of y when x = 9.
Substituting x = 9 into the equation:
y = -1777(9) + 27153
y = -15993 + 27153
y = 11160
Therefore, the predicted number of gun deaths in 2009 is 11,160.
3. Finding the year when the number of deaths is 7606:
To determine the year when the number of deaths is 7606, we need to rearrange the equation and solve for x.
7606 = -1777x + 27153
Rearranging the equation:
-1777x = 7606 - 27153
-1777x = -19547
x = -19547 / -1777
x ≈ 11
Since x represents the number of years after 2000, x ≈ 11 corresponds to the year 2011.
Therefore, the number of gun deaths is predicted to be 7606 in the year 2011.