2. To address the problem on traffic in a big city, several straight roads are being constructed. It was noted that the two roads will have at most one junction, three roads will have at most three junctions, and so on. a. Complete the table below: Identify the pattern on the maximum number of junctions. No. of 2 4 roads No. of 2 3. junctions b. At least how many junctions are expected to he constructed if there will be seven roads in the city? Explain your answer.. 3. Provide the correct number in the box with a question mark. Explain how you arrived at your answer. 4 16 ?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. To address the problem on traffic in a big city, several straight roads are
being constructed. It was noted that the two roads will have at most one
junction, three roads will have at most three junctions, and so on.
a. Complete the table below: Identify the pattern on the maximum number
of junctions.
No. of
2
3
4
5
roads
No. of
2
3
junctions
b. At least how many junctions are expected to be constructed if there will
be seven roads in the city? Explain your answer..
3. Provide the correct number in the box with a question mark. Explain how
you arrived at your answer.
2
4
16
?
Transcribed Image Text:2. To address the problem on traffic in a big city, several straight roads are being constructed. It was noted that the two roads will have at most one junction, three roads will have at most three junctions, and so on. a. Complete the table below: Identify the pattern on the maximum number of junctions. No. of 2 3 4 5 roads No. of 2 3 junctions b. At least how many junctions are expected to be constructed if there will be seven roads in the city? Explain your answer.. 3. Provide the correct number in the box with a question mark. Explain how you arrived at your answer. 2 4 16 ?
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