Answered: The sketch below shows a network of…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.2: Exponential Functions

Problem 59E

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Question

The sketch below shows a network of highways connecting 9 towns.

Identify the sample space of all possible routes between towns 1 and 9. Follow the arrows.
The possible travel times for each leg of the journey are indicated on the sketch. What is the shortest possible (total) travel time between towns 1 and 9? Report the time and the corresponding route.
What is the sample space of travel times for route 1 → 2 → 9?

Possible Travel Times
3, 4, 5 hr
9.
2.
1, 2 hr
1, 1.5
(3
1.5, 2
0.5, 1
7
Start
1, 1.5
1, 2
4
1.5, 2.5
6.
0.5
2, 3

Expert Solution

Step 1

Given,

The diagram for a network of highways connecting 9 towns.

To find,

a. Identify the sample space of all possible routes between towns 1 and 9. Follow the arrows.

b. The possible travel times for each leg of the journey are indicated on the sketch. What is the shortest possible (total) travel time between towns 1 and 9? Report the time and the corresponding route.

c. What is the sample space of travel times for route 1 → 2 → 9?

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