The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. x 11.9 8.3 6.7 3.5 2.7 2.3 2.7 0.9 y 14.4 11.2 9.7 6.7 6.4 6.1 6.5 4.5 x= thousands of automatic weapons y= murders per 100,000 residents This data can be modeled by the equation y=0.88x+3.9. Use this equation to answer the following; A) How many murders per 100,000 residents can be expected in a state with 7.3 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 4 thousand automatic weapons? Answer = Round to 3 decimal places.
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states.
x
11.9
8.3
6.7
3.5
2.7
2.3
2.7
0.9
y
14.4
11.2
9.7
6.7
6.4
6.1
6.5
4.5
x= thousands of automatic weapons
y= murders per 100,000 residents
This data can be modeled by the equation
y=0.88x+3.9.
Use this equation to answer the following;
A) How many murders per 100,000 residents can be expected in a state with 7.3 thousand automatic weapons?
Answer = Round to 3 decimal places.
B) How many murders per 100,000 residents can be expected in a state with 4 thousand automatic weapons?
Answer = Round to 3 decimal places.
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