The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. x 11.8 8.2 6.9 3.6 2.8 2.7 2.1 0.3 y 14.3 10.7 9.8 6.9 6.2 6.2 6 4.2 x= thousands of automatic weapons y= murders per 100,000 residents This data can be modeled by the equation y=0.86x+3.9.Use this equation to answer the following; A) How many murders per 100,000 residents can be expected in a state with 5 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 6.4 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
11.8
8.2
6.9
3.6
2.8
2.7
2.1
0.3
y
14.3
10.7
9.8
6.9
6.2
6.2
6
4.2
x= thousands of automatic weapons
y= murders per 100,000 residents
This data can be modeled by the equation y=0.86x+3.9.Use this equation to answer the following;
A) How many murders per 100,000 residents can be expected in a state with 5 thousand automatic weapons?
Answer = Round to 3 decimal places.
B) How many murders per 100,000 residents can be expected in a state with 6.4 thousand automatic weapons?
Answer = Round to 3 decimal places.
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