Me with my math and show your work

The solution is: 

$160 for booth + $16 needles = $176 as capital

$15 price to sell each scarf - $4 cost of the yarn to make

the scarf = $11 as profit

$176 / $11 = 16

The students must sell 16 pieces of scarves to get the

break even point of $176 for the capital

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.