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The owner of a new restaurant wants to have seating for more than 68 people. There is currently a private chef's table that seats 2 people. The owner plans to buy m tables that each seat 4 people.







Which inequality can be used to show the situation?







2m+4>68



4m+2>68



2(m+4)>68



4(m+2)>68

Verified Answer :

jodeelhyn

The inequality that would best work for your problem is 4m+2>68.
This is because there is already a table for 2 (explains the +2) and for every extra table he buys, m, the owner can seat an additional 4 people (explains 4m). Lastly, the owner wants at least 68 people, so there should be extra seating, which would be greater than 68.

adioabiola

The inequality that can be used to represent the situation is 4m + 2 > 68 where the number of more tables is greater than 16.5

Given:

Total seating greater than 68

private chef table = 2 people

Each More table = 4 people

Number of more table = m

Greater than means >

The inequality:

(Each More table × Number of more table) + private chef table > Total seating

(4 × m) + 2 > 68

4m + 2 > 68

solve for m

4m > 68 - 2

4m > 66

m > 66/4

m > 16.5

Therefore, the number of more tables to buy should be grater than 16.5

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