Inga can earn $575 per week in a plant store, or
she can earn 4% of total sales. How much would
Inga have to sell to earn more in commission than
in salary?

Inga must sell more than $14,375 per week in order to earn more in commision.

Step-by-step explanation:

Her sallary per week can be given in two ways:

sallary = 575

sallary = (4/100)*(sales per week)

If she wants to gain more from comissions than from the fixed sallary, then we can write an inequality such that:

(4/100)*(sales per week) > 575

sales per week > 575/(4/100)

sales per week > 575*(100/4)

sales per week > 57500/4

sales per week > 14375

Inga must sell more than $14,375 per week in order to earn more in commision.

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

hope this !

~just a girl in love with shawn mendes