The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. x 11.9 8.6 6.9 3.8 2.7 2.7 2.5 0.9 y 14.1 11.1 9.8 7.6 6.6 6.6 6.3 4.9 x = thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the equation y=0.81x+4.32. Use this equation to answer the following; A) How many murders per 100,000 residents can be expected in a state with 2.7 thousand automatic weapons? __?__ = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 6.7 thousand automatic weapons? __?__ = 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 | 8.6 | 6.9 | 3.8 | 2.7 | 2.7 | 2.5 | 0.9 |
---|---|---|---|---|---|---|---|---|
y | 14.1 | 11.1 | 9.8 | 7.6 | 6.6 | 6.6 | 6.3 | 4.9 |
x = thousands of automatic weapons
y = murders per 100,000 residents
This data can be modeled by the equation y=0.81x+4.32. Use this equation to answer the following;
A) How many murders per 100,000 residents can be expected in a state with 2.7 thousand automatic weapons?
__?__ = Round to 3 decimal places.
B) How many murders per 100,000 residents can be expected in a state with 6.7 thousand automatic weapons?
__?__ = Round to 3 decimal places.
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