8) The Green County Fair charges $6 for admission plus $3 per ride. The Orange County Fair charges $12 for admission plus $2 per ride.
a) Write a system of equations (one equation for each fair) where x is the number of rides and y is the total cost. (1 pt)
b) Use substitution to solve the system. (The substitution strategy, NOT guess & check) Remember to find both x and y!
(2 pts)
c) Use graphing to solve the system again. Notice: the y-axis is scaled by 2!
Write your answer as an ordered pair. (2 pts)

d) Explain what the numbers in your solution mean in the context of
the problem. You must mention both numbers in your 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!

what? ?

what type of question is thiss

step-by-step explanation:

graph them on a graphing calculator, press 2nd trace. select intersect. hit enter until it says answer. ti 84 works best

step-by-step explanation:

answer: 7 x 2/5 = 2.8 hours, is your answer. your welcome! : 3

step-by-step explanation: first work out how long it took to hose 1/7 of the lawn which is 2/5 hours. times that by 7 to get the whole lawn.

sorry i don't know the other answer. i didn't learn what a proportional relationship is.