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 represent the situation?
Responses
2m+4>68
2 m plus 4 greater than 68
4(m+2)>68
4 left parenthesis m plus 2 right parenthesis greater than 68
2(m+4)>68
2 left parenthesis m plus 4 right parenthesis greater than 68
4m+2>68
The correct inequality that represents the situation is 4(m+2) > 68
To represent the given situation mathematically, we need to find an inequality that expresses the total seating capacity of the restaurant.
Let's break down the seating arrangement:
- There is a private chef's table that seats 2 people. So, we start with 2 seats.
- The owner plans to buy m tables, and each table will seat 4 people. So, the additional seating capacity from the tables will be 4m.
To determine the total seating capacity, we need to sum up the seats from the chef's table and the additional tables:
Total seating capacity = 2 (from the chef's table) + 4m (from the additional tables) = 2 + 4m.
Finally, the owner wants to have seating for more than 68 people. Thus, the inequality that represents the situation is:
2 + 4m > 68.
Therefore, the correct inequality is: 2 + 4m > 68.
The correct inequality that can be used to represent the situation is:
2(m+4) > 68