5 Some students were surveyed about their eye color and
their favorite color. The results are displayed below.
Based on the graph, is there an association between
eye color and favorite color?
Eye Color vs. Favorite Color
0.8
Purple
X There is an association because the distribution of
favorite colors differs among the eye-color groups.
There is an association because the distribution of
favorite colors is the same among the eye-color
groups.
There is no association because the distribution of
favorite color differs among the eye-color groups.
There is no association because the distribution of
favorite colors is the same among the eye-color
groups
Blue
0.6
Relative Frequency
Yellow
0.4
0.2
l Orange
Red
w
0
Blue
Hazel
Brown Green
Eye Color
Submitted

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute:

i think the answer is b