Afruit vendor noticed a proportional relationship between the sales of two of its most popular items, pounds of apples and pounds of oranges. the graph below shows the relationship between the two items. the point on the line shows that the unit rate of pounds of apples sold to pounds of oranges sold is of a pound of apples per pound of oranges. the point (15,10) on the line shows that for every 10 pounds of oranges sold, there will be 15 pounds of apples sold. the point (18,12) on the line shows that for every 12 pounds of apples sold, there will be 18 pounds of oranges sold. the point (12,8) on the line shows that for every 8 pounds of oranges sold, there will be 12 pounds of apples sold.

so what is your question exactly

Step-by-step explanation:

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!

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step-by-step explanation: