As part of an economics assignment, high school students were asked to keep track of the number of times within the last 30 days that
they used ride-sharing for transportation. The students' responses are shown below. Which of the following histograms correctly
demonstrates the frequency of ride shares reported by the students?
Number of Students' Ride Shares within Last 30 Days: 7,0, 1, 5, 10, 25, 17. 9,3.0, 4.0, 6, 17, 10

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!

y=x+9

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step-by-step explanation:

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step-by-step explanation:

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