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 > 75plz explain step by step and show work
Accepted Solution
A:
Answer:c) The required representation of the given situation is 4 m + 3 > 75Step-by-step 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 mAlso, the additional number of people seated ta chef's table = 3So, Total seated people in the restaurant = People seated at m tables + People seated at chef's table= 4 m + 3Now, the seating arrangement is for more than 75 people.⇒ 4 m + 3 > 75Hence, the required representation of the given situation is 4 m + 3 > 75