Question 1 (2 points) Pablo and Kenneth are going make and sell some wooden figures to raise
money for a charity. Pablo will carve them and Kenneth will paint them. It takes
Pablo 2 hours to carve a small figure (S) and 3 hours to carve a large one (L). He
plans to spend 24 hours carving.
Kenneth will paint the figures and only has enough time to paint at most 10 of
them. They want to raise as much money as possible.
Which two of the following equations model the constraints of this
situation? (The constraints are the limits on what Pablo and Kenneth can make.)
pls help:(

3S+2L=24

S+L=10

Step-by-step explanation:

I took the test

2S + 3L = 24

S+L=10

Step-by-step explanation:

We will be using the Elimination Method for this question.

S = small || L = large

1. Multiply 2nd equation by -2 then bring down 1st equation:

(-2) (S + L= 10)

= -2S - 2L = -20

   2S + 3L =24

= 0S + L = 4

y = 4

2. Substitute L in either equation:

S + L = 10

S + (4) = 10

S = 6

3. Plug both S and L values into other equation:

2(6) + 3(4) = 24

12 + 12 = 24

Solution: (6, 4)

They will need to make 6 small and 4 large to get the most amount of money.

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 answer is c just got it on ed

step-by-step explanation: