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example 5 Car Rental Agency
Chapter 8.1
The inequalities that satisfy the conditions given in the car rental problem are called theconstraint inequalities for the problem. They form the system
71
1260 15
280
0
y x
xy
x
y
a. Graph the solution to the system.
b. Find the coordinates of the points where the borders intersect and the points where the region intersects the x- and y-axes.
2009 PBLPathways
2009 PBLPathways
The inequalities that satisfy the conditions given in the car rental problem are called theconstraint inequalities for the problem. They form the system
71
1260 15
280
0
y x
xy
x
y
a. Graph the solution to the system.
b. Find the coordinates of the points where the borders intersect and the points where the region intersects the x- and y-axes.
2009 PBLPathways
71
1260 15
280
0
y x
xy
x
y
a. Graph the solution to the system.
71y x
2009 PBLPathways
71
1260 15
280
0
y x
xy
x
y
a. Graph the solution to the system.
71y x
2009 PBLPathways
71
1260 15
280
0
y x
xy
x
y
a. Graph the solution to the system.
71y x
x
y
2009 PBLPathways
71
1260 15
280
0
y x
xy
x
y
a. Graph the solution to the system.
71y x
(0, 0)x
y
2009 PBLPathways
71
1260 15
280
0
y x
xy
x
y
a. Graph the solution to the system.
71y x
(0, 0)
?
0 71 0
0 71
TRUE
x
y
2009 PBLPathways
71
1260 15
280
0
y x
xy
x
y
a. Graph the solution to the system.
71y x
x
y
2009 PBLPathways
71
1260 15
280
0
y x
xy
x
y
a. Graph the solution to the system.
1260 15
28
xy
x
y
2009 PBLPathways
71
1260 15
280
0
y x
xy
x
y
a. Graph the solution to the system.
71y x
1260 15
28
xy
x
y
2009 PBLPathways
71
1260 15
280
0
y x
xy
x
y
a. Graph the solution to the system.
71y x
1260 15
28
xy
x
y
2009 PBLPathways
71
1260 15
280
0
y x
xy
x
y
b. Find the coordinates of the points where the borders intersect and the points where the region intersects the x- and y-axes.
71y x
1260 15
28
xy
x
y
2009 PBLPathways
71
1260 15
280
0
y x
xy
x
y
b. Find the coordinates of the points where the borders intersect and the points where the region intersects the x- and y-axes.
1260 1571
28
1988 28 1260 15
728 13
56 and 71 56 15
xx
x x
x
x y
(56, 15)
71y x
1260 15
28
xy
x
y
2009 PBLPathways
71
1260 15
280
0
y x
xy
x
y
b. Find the coordinates of the points where the borders intersect and the points where the region intersects the x- and y-axes.
1260 1571
28
1988 28 1260 15
728 13
56 and 71 56 15
xx
x x
x
x y
(56, 15)
71y x
1260 15
28
xy
x
y
2009 PBLPathways
71
1260 15
280
0
y x
xy
x
y
b. Find the coordinates of the points where the borders intersect and the points where the region intersects the x- and y-axes.
1260 1571
28
1988 28 1260 15
728 13
56 and 71 56 15
xx
x x
x
x y
(56, 15)
71y x
1260 15
28
xy
x
y
2009 PBLPathways
71
1260 15
280
0
y x
xy
x
y
b. Find the coordinates of the points where the borders intersect and the points where the region intersects the x- and y-axes.
(56, 15)
x
y
2009 PBLPathways
71
1260 15
280
0
y x
xy
x
y
b. Find the coordinates of the points where the borders intersect and the points where the region intersects the x- and y-axes.
0 71
71 and 0
x
x y
71y x
x
y
2009 PBLPathways
71
1260 15
280
0
y x
xy
x
y
b. Find the coordinates of the points where the borders intersect and the points where the region intersects the x- and y-axes.
0 71
71 and 0
x
x y
71y x
x
y
2009 PBLPathways
71
1260 15
280
0
y x
xy
x
y
b. Find the coordinates of the points where the borders intersect and the points where the region intersects the x- and y-axes.
0 71
71 and 0
x
x y
(71, 0)
71y x
x
y
2009 PBLPathways
71
1260 15
280
0
y x
xy
x
y
b. Find the coordinates of the points where the borders intersect and the points where the region intersects the x- and y-axes.
1260 15 0
28
45 and 0
y
y x
1260 15
28
xy
x
y
2009 PBLPathways
71
1260 15
280
0
y x
xy
x
y
b. Find the coordinates of the points where the borders intersect and the points where the region intersects the x- and y-axes.
1260 15 0
28
45 and 0
y
y x
1260 15
28
xy
x
y
2009 PBLPathways
71
1260 15
280
0
y x
xy
x
y
b. Find the coordinates of the points where the borders intersect and the points where the region intersects the x- and y-axes.
(0, 45)
x
y
2009 PBLPathways
71
1260 15
280
0
y x
xy
x
y
b. Find the coordinates of the points where the borders intersect and the points where the region intersects the x- and y-axes.
(0, 45)
(71, 0)(56, 15)
(0, 0)x
y