An artist needs to order supplies to prepare for the upcoming art show. She wants to make 3 paintings, 6 drawings, and 5 clay

figurines. She needs to purchase canvases, paint, sealer, clay,

and colored pencils. For paintings, she needs 3 canvases, 18

paint tubes, and 2 bottles of sealer. For her drawings, she needs

6 canvases, 2 bottles of sealer, and 24 colored pencils. For the

figurines, she needs 4 tubes of paint, 1 bottle of sealer, and 12

pounds of clay. Canvases cost $8, tubes of paint cost $4,

bottles of sealer cost $4, clay costs $6 per pound, and pencils

cost $2 each.

paintings-8×3+4×18+4×2=24+72+8=104$

drawings-6×8+2×4+25×2=48+8+50=106$

figurines-4×4+1×4+12×6=16+4+72=92$

full coast=paintings+drawings+figurines=104$+106$+92$=302$

Answear:She beeds 302$ to buy everything for her drawings painings and figurines.

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