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.

The linear function that models the charge for hiring the technician for x hours is y=45*x + 55

Step-by-step explanation:

The linear function is defined by the equation

f(x) = mx + b or y = mx + b

where m is the slope of the line and b is the y-intercept.

In this case you want to represent a linear function that models the charge for hiring the technician for x hours, that is, y represents the charge for hiring the technician and x the number of hours.

Given the coordinates of two points (x1, y1) and (x2, y2), you can determine the equation of the line first knowing the slope m by:

In this case, the points are:

So:

Solving:

m=45

To obtain the value of b, once you have replaced the value of m in the equation, you must substitute the values of x and y for the values of the coordinates of one of the points, and solve for b to obtain its value. In this case you replace the value of point 1:

And you get:

190= 135 + b

190 - 135= b

55= b

So, the linear function that models the charge for hiring the technician for x hours is y=45*x + 55