To calculate : The rule for the number of people that can be seated around n tables, compare the number of people that can be seated around n tables in the arrangement with the number that can be seated around n tables if the same tables are placed together along their long edges given that rectangular tables are placed together along their short edges as shown in the figure below.

The number of people that can be seated around n tables in the first arrangement is greater than the people that can be seated around n tables in the second arrangement.

Given information :

Rectangular tables are placed together along their short edges as shown in the figure below.

Formula used :

Look at the pattern of the tables and formulate a series.

Calculation :

Consider the rectangular tables as shown below.

When tables are ordered, if there are n=1 tables, then 6 people can be seated.

a1=6=2+4⋅1

When tables are ordered, if there are n=2 tables, then 10 people can be seated.

a2=10=2+4⋅2

When tables are ordered, if there are n=3 tables, then 14 people can be seated.

a3=14=2+4⋅3

In general, when n tables are placed, the number of people seated are as below.

an=2+4n

In the scenario when tables are placed together along their long edges.

When tables are ordered, if there are n=1 tables, then 6 people can be seated.

a1=6=4+2⋅1

When tables are ordered, if there are n=2 tables, then 8 people can be seated.

a2=8=4+2⋅2

When tables are ordered, if there are n=3 tables, then 10 people can be seated.

a3=10=4+2⋅3

In general, when n tables are placed, the number of people seated are as below.

an=4+2n

Thus, the number of people that can be seated around n tables in the first arrangement is greater than the people that can be seated around n tables in the second arrangement.

Chapter 7.3, Problem 2MRPS

Chapter 7.3, Problem 4MRPS

Chapter 7 Solutions

Holt Mcdougal Larson Algebra 2: Student Edition 2012

Ch. 7.1 - Prob. 1GP Ch. 7.1 - Prob. 2GP Ch. 7.1 - Prob. 3GP Ch. 7.1 - Prob. 4GP Ch. 7.1 - Prob. 5GP Ch. 7.1 - Prob. 6GP Ch. 7.1 - Prob. 7GP Ch. 7.1 - Prob. 8GP Ch. 7.1 - Prob. 9GP Ch. 7.1 - Prob. 10GP

Ch. 7.1 - Prob. 11GP Ch. 7.1 - Prob. 12GP Ch. 7.1 - Prob. 13GP Ch. 7.1 - Prob. 14GP Ch. 7.1 - Prob. 1E Ch. 7.1 - Prob. 2E Ch. 7.1 - Prob. 3E Ch. 7.1 - Prob. 4E Ch. 7.1 - Prob. 5E Ch. 7.1 - Prob. 6E Ch. 7.1 - Prob. 7E Ch. 7.1 - Prob. 8E Ch. 7.1 - Prob. 9E Ch. 7.1 - Prob. 10E Ch. 7.1 - Prob. 11E Ch. 7.1 - Prob. 12E Ch. 7.1 - Prob. 13E Ch. 7.1 - Prob. 14E Ch. 7.1 - Prob. 15E Ch. 7.1 - Prob. 16E Ch. 7.1 - Prob. 17E Ch. 7.1 - Prob. 18E Ch. 7.1 - Prob. 19E Ch. 7.1 - Prob. 20E Ch. 7.1 - Prob. 21E Ch. 7.1 - Prob. 22E Ch. 7.1 - Prob. 23E Ch. 7.1 - Prob. 24E Ch. 7.1 - Prob. 25E Ch. 7.1 - Prob. 26E Ch. 7.1 - Prob. 27E Ch. 7.1 - Prob. 28E Ch. 7.1 - Prob. 29E Ch. 7.1 - Prob. 30E Ch. 7.1 - Prob. 31E Ch. 7.1 - Prob. 32E Ch. 7.1 - Prob. 33E Ch. 7.1 - Prob. 34E Ch. 7.1 - Prob. 35E Ch. 7.1 - Prob. 36E Ch. 7.1 - Prob. 37E Ch. 7.1 - Prob. 38E Ch. 7.1 - Prob. 39E Ch. 7.1 - Prob. 40E Ch. 7.1 - Prob. 41E Ch. 7.1 - Prob. 42E Ch. 7.1 - Prob. 43E Ch. 7.1 - Prob. 44E Ch. 7.1 - Prob. 45E Ch. 7.1 - Prob. 46E Ch. 7.1 - Prob. 47E Ch. 7.1 - Prob. 48E Ch. 7.1 - Prob. 49E Ch. 7.1 - Prob. 50E Ch. 7.1 - Prob. 51E Ch. 7.1 - Prob. 52E Ch. 7.1 - Prob. 53E Ch. 7.1 - Prob. 54E Ch. 7.1 - Prob. 55E Ch. 7.1 - Prob. 56E Ch. 7.1 - Prob. 57E Ch. 7.1 - Prob. 58E Ch. 7.1 - Prob. 59E Ch. 7.1 - Prob. 60E Ch. 7.1 - Prob. 61E Ch. 7.1 - Prob. 62E Ch. 7.1 - Prob. 63PS Ch. 7.1 - Prob. 64PS Ch. 7.1 - Prob. 65PS Ch. 7.1 - Prob. 66PS Ch. 7.1 - Prob. 67PS Ch. 7.1 - Prob. 68PS Ch. 7.1 - Prob. 1P Ch. 7.1 - Prob. 2P Ch. 7.1 - Prob. 3P Ch. 7.1 - Prob. 4P Ch. 7.1 - Prob. 5P Ch. 7.1 - Prob. 6P Ch. 7.2 - Prob. 1GP Ch. 7.2 - Prob. 2GP Ch. 7.2 - Prob. 3GP Ch. 7.2 - Prob. 4GP Ch. 7.2 - Prob. 5GP Ch. 7.2 - Prob. 6GP Ch. 7.2 - Prob. 1E Ch. 7.2 - Prob. 2E Ch. 7.2 - Prob. 3E Ch. 7.2 - Prob. 4E Ch. 7.2 - Prob. 5E Ch. 7.2 - Prob. 6E Ch. 7.2 - Prob. 7E Ch. 7.2 - Prob. 8E Ch. 7.2 - Prob. 9E Ch. 7.2 - Prob. 10E Ch. 7.2 - Prob. 11E Ch. 7.2 - Prob. 12E Ch. 7.2 - Prob. 13E Ch. 7.2 - Prob. 14E Ch. 7.2 - Prob. 15E Ch. 7.2 - Prob. 16E Ch. 7.2 - Prob. 17E Ch. 7.2 - Prob. 18E Ch. 7.2 - Prob. 19E Ch. 7.2 - Prob. 20E Ch. 7.2 - Prob. 21E Ch. 7.2 - Prob. 22E Ch. 7.2 - Prob. 23E Ch. 7.2 - Prob. 24E Ch. 7.2 - Prob. 25E Ch. 7.2 - Prob. 26E Ch. 7.2 - Prob. 27E Ch. 7.2 - Prob. 28E Ch. 7.2 - Prob. 29E Ch. 7.2 - Prob. 30E Ch. 7.2 - Prob. 31E Ch. 7.2 - Prob. 32E Ch. 7.2 - Prob. 33E Ch. 7.2 - Prob. 34E Ch. 7.2 - Prob. 35E Ch. 7.2 - Prob. 36E Ch. 7.2 - Prob. 37E Ch. 7.2 - Prob. 38E Ch. 7.2 - Prob. 39E Ch. 7.2 - Prob. 40E Ch. 7.2 - Prob. 41E Ch. 7.2 - Prob. 42E Ch. 7.2 - Prob. 43E Ch. 7.2 - Prob. 44E Ch. 7.2 - Prob. 45E Ch. 7.2 - Prob. 46E Ch. 7.2 - Prob. 47E Ch. 7.2 - Prob. 48E Ch. 7.2 - Prob. 49E Ch. 7.2 - Prob. 50E Ch. 7.2 - Prob. 51E Ch. 7.2 - Prob. 52E Ch. 7.2 - Prob. 53E Ch. 7.2 - Prob. 54E Ch. 7.2 - Prob. 55E Ch. 7.2 - Prob. 56E Ch. 7.2 - Prob. 57E Ch. 7.2 - Prob. 58E Ch. 7.2 - Prob. 59E Ch. 7.2 - Prob. 60E Ch. 7.2 - Prob. 61E Ch. 7.2 - Prob. 62E Ch. 7.2 - Prob. 63PS Ch. 7.2 - Prob. 64PS Ch. 7.2 - Prob. 65PS Ch. 7.2 - Prob. 66PS Ch. 7.2 - Prob. 67PS Ch. 7.2 - Prob. 68PS Ch. 7.2 - Prob. 69PS Ch. 7.3 - Prob. 1GP Ch. 7.3 - Prob. 2GP Ch. 7.3 - Prob. 3GP Ch. 7.3 - Prob. 4GP Ch. 7.3 - Prob. 5GP Ch. 7.3 - Prob. 6GP Ch. 7.3 - Prob. 7GP Ch. 7.3 - Prob. 8GP Ch. 7.3 - Prob. 1E Ch. 7.3 - Prob. 2E Ch. 7.3 - Prob. 3E Ch. 7.3 - Prob. 4E Ch. 7.3 - Prob. 5E Ch. 7.3 - Prob. 6E Ch. 7.3 - Prob. 7E Ch. 7.3 - Prob. 8E Ch. 7.3 - Prob. 9E Ch. 7.3 - Prob. 10E Ch. 7.3 - Prob. 11E Ch. 7.3 - Prob. 12E Ch. 7.3 - Prob. 13E Ch. 7.3 - Prob. 14E Ch. 7.3 - Prob. 15E Ch. 7.3 - Prob. 16E Ch. 7.3 - Prob. 17E Ch. 7.3 - Prob. 18E Ch. 7.3 - Prob. 19E Ch. 7.3 - Prob. 20E Ch. 7.3 - Prob. 21E Ch. 7.3 - Prob. 22E Ch. 7.3 - Prob. 23E Ch. 7.3 - Prob. 24E Ch. 7.3 - Prob. 25E Ch. 7.3 - Prob. 26E Ch. 7.3 - Prob. 27E Ch. 7.3 - Prob. 28E Ch. 7.3 - Prob. 29E Ch. 7.3 - Prob. 30E Ch. 7.3 - Prob. 31E Ch. 7.3 - Prob. 32E Ch. 7.3 - Prob. 33E Ch. 7.3 - Prob. 34E Ch. 7.3 - Prob. 35E Ch. 7.3 - Prob. 36E Ch. 7.3 - Prob. 37E Ch. 7.3 - Prob. 38E Ch. 7.3 - Prob. 39E Ch. 7.3 - Prob. 40E Ch. 7.3 - Prob. 41E Ch. 7.3 - Prob. 42E Ch. 7.3 - Prob. 43E Ch. 7.3 - Prob. 44E Ch. 7.3 - Prob. 45E Ch. 7.3 - Prob. 46E Ch. 7.3 - Prob. 47E Ch. 7.3 - Prob. 48E Ch. 7.3 - Prob. 49E Ch. 7.3 - Prob. 50E Ch. 7.3 - Prob. 51E Ch. 7.3 - Prob. 52E Ch. 7.3 - Prob. 53E Ch. 7.3 - Prob. 54E Ch. 7.3 - Prob. 55E Ch. 7.3 - Prob. 56E Ch. 7.3 - Prob. 57PS Ch. 7.3 - Prob. 58PS Ch. 7.3 - Prob. 59PS Ch. 7.3 - Prob. 60PS Ch. 7.3 - Prob. 61PS Ch. 7.3 - Prob. 62PS Ch. 7.3 - Prob. 1Q Ch. 7.3 - Prob. 2Q Ch. 7.3 - Prob. 3Q Ch. 7.3 - Prob. 4Q Ch. 7.3 - Prob. 5Q Ch. 7.3 - Prob. 6Q Ch. 7.3 - Prob. 7Q Ch. 7.3 - Prob. 8Q Ch. 7.3 - Prob. 9Q Ch. 7.3 - Prob. 10Q Ch. 7.3 - Prob. 11Q Ch. 7.3 - Prob. 12Q Ch. 7.3 - Prob. 13Q Ch. 7.3 - Prob. 14Q Ch. 7.3 - Prob. 15Q Ch. 7.3 - Prob. 16Q Ch. 7.3 - Prob. 1MRPS Ch. 7.3 - Prob. 2MRPS Ch. 7.3 - Prob. 3MRPS Ch. 7.3 - Prob. 4MRPS Ch. 7.3 - Prob. 5MRPS Ch. 7.3 - Prob. 6MRPS Ch. 7.3 - Prob. 7MRPS Ch. 7.3 - Prob. 8MRPS Ch. 7.3 - Prob. 1DC Ch. 7.3 - Prob. 2DC Ch. 7.4 - Prob. 1GP Ch. 7.4 - Prob. 2GP Ch. 7.4 - Prob. 3GP Ch. 7.4 - Prob. 4GP Ch. 7.4 - Prob. 5GP Ch. 7.4 - Prob. 6GP Ch. 7.4 - Prob. 7GP Ch. 7.4 - Prob. 8GP Ch. 7.4 - Prob. 1E Ch. 7.4 - Prob. 2E Ch. 7.4 - Prob. 3E Ch. 7.4 - Prob. 4E Ch. 7.4 - Prob. 5E Ch. 7.4 - Prob. 6E Ch. 7.4 - Prob. 7E Ch. 7.4 - Prob. 8E Ch. 7.4 - Prob. 9E Ch. 7.4 - Prob. 10E Ch. 7.4 - Prob. 11E Ch. 7.4 - Prob. 12E Ch. 7.4 - Prob. 13E Ch. 7.4 - Prob. 14E Ch. 7.4 - Prob. 15E Ch. 7.4 - Prob. 16E Ch. 7.4 - Prob. 17E Ch. 7.4 - Prob. 18E Ch. 7.4 - Prob. 19E Ch. 7.4 - Prob. 20E Ch. 7.4 - Prob. 21E Ch. 7.4 - Prob. 22E Ch. 7.4 - Prob. 23E Ch. 7.4 - Prob. 24E Ch. 7.4 - Prob. 25E Ch. 7.4 - Prob. 26E Ch. 7.4 - Prob. 27E Ch. 7.4 - Prob. 28E Ch. 7.4 - Prob. 29E Ch. 7.4 - Prob. 30E Ch. 7.4 - Prob. 31E Ch. 7.4 - Prob. 32E Ch. 7.4 - Prob. 33E Ch. 7.4 - Prob. 34E Ch. 7.4 - Prob. 35E Ch. 7.4 - Prob. 36E Ch. 7.4 - Prob. 37PS Ch. 7.4 - Prob. 38PS Ch. 7.4 - Prob. 39PS Ch. 7.4 - Prob. 40PS Ch. 7.4 - Prob. 41PS Ch. 7.4 - Prob. 42PS Ch. 7.4 - Prob. 1DC Ch. 7.4 - Prob. 2DC Ch. 7.4 - Prob. 3DC Ch. 7.4 - Prob. 4DC Ch. 7.5 - Prob. 1GP Ch. 7.5 - Prob. 2GP Ch. 7.5 - Prob. 3GP Ch. 7.5 - Prob. 4GP Ch. 7.5 - Prob. 5GP Ch. 7.5 - Prob. 6GP Ch. 7.5 - Prob. 7GP Ch. 7.5 - Prob. 8GP Ch. 7.5 - Prob. 9GP Ch. 7.5 - Prob. 10GP Ch. 7.5 - Prob. 11GP Ch. 7.5 - Prob. 12GP Ch. 7.5 - Prob. 1E Ch. 7.5 - Prob. 2E Ch. 7.5 - Prob. 3E Ch. 7.5 - Prob. 4E Ch. 7.5 - Prob. 5E Ch. 7.5 - Prob. 6E Ch. 7.5 - Prob. 7E Ch. 7.5 - Prob. 8E Ch. 7.5 - Prob. 9E Ch. 7.5 - Prob. 10E Ch. 7.5 - Prob. 11E Ch. 7.5 - Prob. 12E Ch. 7.5 - Prob. 13E Ch. 7.5 - Prob. 14E Ch. 7.5 - Prob. 15E Ch. 7.5 - Prob. 16E Ch. 7.5 - Prob. 17E Ch. 7.5 - Prob. 18E Ch. 7.5 - Prob. 19E Ch. 7.5 - Prob. 20E Ch. 7.5 - Prob. 21E Ch. 7.5 - Prob. 22E Ch. 7.5 - Prob. 23E Ch. 7.5 - Prob. 24E Ch. 7.5 - Prob. 25E Ch. 7.5 - Prob. 26E Ch. 7.5 - Prob. 27E Ch. 7.5 - Prob. 28E Ch. 7.5 - Prob. 29E Ch. 7.5 - Prob. 30E Ch. 7.5 - Prob. 31E Ch. 7.5 - Prob. 32E Ch. 7.5 - Prob. 33E Ch. 7.5 - Prob. 34E Ch. 7.5 - Prob. 35E Ch. 7.5 - Prob. 36E Ch. 7.5 - Prob. 37E Ch. 7.5 - Prob. 38E Ch. 7.5 - Prob. 39E Ch. 7.5 - Prob. 40E Ch. 7.5 - Prob. 41E Ch. 7.5 - Prob. 42E Ch. 7.5 - Prob. 43PS Ch. 7.5 - Prob. 44PS Ch. 7.5 - Prob. 45PS Ch. 7.5 - Prob. 46PS Ch. 7.5 - Prob. 47PS Ch. 7.5 - Prob. 48PS Ch. 7.5 - Prob. 1Q Ch. 7.5 - Prob. 2Q Ch. 7.5 - Prob. 3Q Ch. 7.5 - Prob. 4Q Ch. 7.5 - Prob. 5Q Ch. 7.5 - Prob. 6Q Ch. 7.5 - Prob. 7Q Ch. 7.5 - Prob. 8Q Ch. 7.5 - Prob. 9Q Ch. 7.5 - Prob. 10Q Ch. 7.5 - Prob. 11Q Ch. 7.5 - Prob. 12Q Ch. 7.5 - Prob. 13Q Ch. 7.5 - Prob. 14Q Ch. 7.5 - Prob. 15Q Ch. 7.5 - Prob. 16Q Ch. 7.5 - Prob. 17Q Ch. 7.5 - Prob. 18Q Ch. 7.5 - Prob. 19Q Ch. 7.5 - Prob. 1P Ch. 7.5 - Prob. 2P Ch. 7.5 - Prob. 3P Ch. 7.5 - Prob. 4P Ch. 7.5 - Prob. 5P Ch. 7.5 - Prob. 6P Ch. 7.5 - Prob. 1.1P Ch. 7.5 - Prob. 1.2P Ch. 7.5 - Prob. 1.3P Ch. 7.5 - Prob. 1.4P Ch. 7.5 - Prob. 1.5P Ch. 7.5 - Prob. 1.6P Ch. 7.5 - Prob. 1.7P Ch. 7.5 - Prob. 1.8P Ch. 7.5 - Prob. 1.9P Ch. 7.5 - Prob. 1.10P Ch. 7.5 - Prob. 1.11P Ch. 7.5 - Prob. 1.12P Ch. 7.5 - Prob. 1MRPS Ch. 7.5 - Prob. 2MRPS Ch. 7.5 - Prob. 3MRPS Ch. 7.5 - Prob. 4MRPS Ch. 7.5 - Prob. 5MRPS Ch. 7.5 - Prob. 6MRPS Ch. 7.5 - Prob. 7MRPS Ch. 7.5 - Prob. 8MRPS Ch. 7.5 - Prob. 9MRPS Ch. 7 - Prob. 1VE Ch. 7 - Prob. 2VE Ch. 7 - Prob. 3VE Ch. 7 - Prob. 4VE Ch. 7 - Prob. 5REAE Ch. 7 - Prob. 6REAE Ch. 7 - Prob. 7REAE Ch. 7 - Prob. 8REAE Ch. 7 - Prob. 9REAE Ch. 7 - Prob. 10REAE Ch. 7 - Prob. 11REAE Ch. 7 - Prob. 12REAE Ch. 7 - Prob. 13REAE Ch. 7 - Prob. 14REAE Ch. 7 - Prob. 15REAE Ch. 7 - Prob. 16REAE Ch. 7 - Prob. 17REAE Ch. 7 - Prob. 18REAE Ch. 7 - Prob. 19REAE Ch. 7 - Prob. 20REAE Ch. 7 - Prob. 21REAE Ch. 7 - Prob. 22REAE Ch. 7 - Prob. 23REAE Ch. 7 - Prob. 24REAE Ch. 7 - Prob. 25REAE Ch. 7 - Prob. 26REAE Ch. 7 - Prob. 27REAE Ch. 7 - Prob. 28REAE Ch. 7 - Prob. 29REAE Ch. 7 - Prob. 30REAE Ch. 7 - Prob. 31REAE Ch. 7 - Prob. 32REAE Ch. 7 - Prob. 33REAE Ch. 7 - Prob. 34REAE Ch. 7 - Prob. 35REAE Ch. 7 - Prob. 36REAE Ch. 7 - Prob. 37REAE Ch. 7 - Prob. 38REAE Ch. 7 - Prob. 1T Ch. 7 - Prob. 2T Ch. 7 - Prob. 3T Ch. 7 - Prob. 4T Ch. 7 - Prob. 5T Ch. 7 - Prob. 6T Ch. 7 - Prob. 7T Ch. 7 - Prob. 8T Ch. 7 - Prob. 9T Ch. 7 - Prob. 10T Ch. 7 - Prob. 11T Ch. 7 - Prob. 12T Ch. 7 - Prob. 13T Ch. 7 - Prob. 14T Ch. 7 - Prob. 15T Ch. 7 - Prob. 16T Ch. 7 - Prob. 17T Ch. 7 - Prob. 18T Ch. 7 - Prob. 19T Ch. 7 - Prob. 20T Ch. 7 - Prob. 21T Ch. 7 - Prob. 22T Ch. 7 - Prob. 23T Ch. 7 - Prob. 24T Ch. 7 - Prob. 25T Ch. 7 - Prob. 26T Ch. 7 - Prob. 27T Ch. 7 - Prob. 28T Ch. 7 - Prob. 29T Ch. 7 - Prob. 30T Ch. 7 - Prob. 31T Ch. 7 - Prob. 32T Ch. 7 - Prob. 33T Ch. 7 - Prob. 1P Ch. 7 - Prob. 2P Ch. 7 - Prob. 1TP Ch. 7 - Prob. 2TP Ch. 7 - Prob. 3TP Ch. 7 - Prob. 4TP Ch. 7 - Prob. 5TP Ch. 7 - Prob. 6TP Ch. 7 - Prob. 7TP Ch. 7 - Prob. 8TP Ch. 7 - Prob. 9TP Ch. 7 - Prob. 10TP Ch. 7 - Prob. 11TP Ch. 7 - Prob. 12TP Ch. 7 - Prob. 13TP Ch. 7 - Prob. 14TP Ch. 7 - Prob. 15TP Ch. 7 - Prob. 16TP Ch. 7 - Prob. 17TP Ch. 7 - Prob. 18TP Ch. 7 - Prob. 19TP Ch. 7 - Prob. 20TP

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