Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or negative correlation, describe its meaning in the situation. Women in the Army A graph titled Women in the Army has year on the x-axis, from 1981 to 2001 in increments of 10, and percent on the y-axis, from 0 to 16 in increments of 2. Points are at (1981, 9.3), (1991, 11.3), (2001, 15.8). Year Source: Time Magazine, March 24, 2003 a. positive; as time goes on, more women are in the army.
b. no correlation
c. negative; as time goes on, fewer women are in the army.
d. negative; as time goes on, more women are in the army.

step-by-step explanation:

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so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

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