Question

The owner of a new restaurant wants to have seating for more than 75 people. There is currently a private chef’s table that seats 3 people. The owner plans to buy m tables that each seat 4 people. Which inequality can be used to show the situation?

4(m + 3) > 75
3(m + 4) > 75
4m + 3 > 75
3m + 4 > 75

plz explain step by step and show work

Answer 1

c) The required representation of the given situation is 4 m + 3 > 75

Explanation:

Let us assume, the owner plans to have m tables.

Each table can seat 4 people.

⇒The number of people seated in m tables = m times 4 = 4 m

Also, the additional number of people seated ta chef's table = 3

So, Total seated people in the restaurant

= People seated at m tables + People seated at chef's table

= 4 m + 3

Now, the seating arrangement is for more than 75 people.

⇒ 4 m + 3 > 75

Hence, the required representation of the given situation is 4 m + 3 > 75