Question

The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states.

x

	11.3	8.4	7.1	3.6	2.5	2.7	2.4	0.4
y

	13.4	10.9	9.9	7.1	5.9	6	6	4.2

x = thousands of automatic weapons
y = murders per 100,000 residents

This data can be modeled by the equation y=0.84x+3.88. Use this equation to answer the following;

A) How many murders per 100,000 residents can be expected in a state with 3.9 thousand automatic weapons?

Answer = Round to 3 decimal places.

B) How many murders per 100,000 residents can be expected in a state with 1.1 thousand automatic weapons?

Answer = Round to 3 decimal places.

Answer 1

The equation is y=0.84x+3.88

where x = thousands of automatic weapons,
y = murders per 100,000 residents

A) The number of murders per 100,000 residents can be expected in a state with 3.9 thousand automatic weapons is nothing but the value of y when x=3.9.

Therefore, the value of y = 0.84*(3.9) + 3.88

y = 7.156

Therefore, the number of murders per 100,000 residents can be expected in a state with 3.9 thousand automatic weapons is 7.156.

B)

The number of murders per 100,000 residents can be expected in a state with 1.1 thousand automatic weapons is nothing but the value of y when x=1.1.

Therefore, the value of y = 0.84*(1.1) + 3.88

y = 4.804

Therefore, the number of murders per 100,000 residents can be expected in a state with 1.1 thousand automatic weapons is 4.804.