example 5

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