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 corresponds to 2004, and so on. Predict the number of gun deaths in 2004 and 2008. In what year will the number of gun deaths be 9383?
The predicted gun deaths in 2004 ???
the predicted gun deaths in 2008 ???
the predicted number of gun deaths will be 9383 in the year ?????
for the first two parts, simply replace x with 4 and 8.
for the last part, set
9383 = -1777x + 27153
1777x = 17770
x = 10
so the year would be 2010
I get it thank you
But I still can't get 2004, and 2008 right could you help?
To predict the number of gun deaths in a specific year using the given equation y = -1777x + 27,153, where x represents the number of years after 2000, we need to substitute the corresponding value of x and solve for y.
1. Predicted gun deaths in 2004:
In this case, x = 2004 - 2000 = 4. Substitute this value into the equation:
y = -1777(4) + 27,153
Simplifying the equation, we get:
y = -7108 + 27,153
y = 19,045
Therefore, the predicted number of gun deaths in 2004 is 19,045.
2. Predicted gun deaths in 2008:
Similarly, for x = 2008 - 2000 = 8, substitute this value into the equation:
y = -1777(8) + 27,153
Simplifying the equation:
y = -14,216 + 27,153
y = 12,937
Thus, the predicted number of gun deaths in 2008 is 12,937.
3. Predicting the year when the number of gun deaths will be 9383:
To find the year when the number of gun deaths is 9383, we can rearrange the given equation y = -1777x + 27,153 and solve for x.
9383 = -1777x + 27,153
Subtracting 27,153 from both sides:
-17,770 = -1777x
Dividing both sides by -1777:
10 = x
Since x represents the number of years after 2000, the year when the gun deaths will be 9383 is 2000 + 10, which is 2010.
Therefore:
- The predicted number of gun deaths in 2004 is 19,045.
- The predicted number of gun deaths in 2008 is 12,937.
- The number of gun deaths will be 9383 in the year 2010.