During the summer, allie works on her uncle's dairy farm. one of allie's many chores is to load bales of hay onto a wagon and haul them from the field into the barn. in 2 wagon loads, allie can haul 16 bales. there is a proportional relationship between the number of wagon loads, x, and the number of bales of hay allie can haul, y. graph this relationship. select two points to draw a line.

She hauls 16 bales in 2 wagon loads.

Divide number of bails per load:

16 / 2 = 8

This means for every 1 wagon load she can haul 8 bales.

See attached picture for the graph:

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