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

SHOW YOUR WORK

Answer 1

`4m+3>75`

Explanation:

Given:

Number of people to be seated should be greater than 75.

Let
`n` be the number of people. So,

`n > 75`

Now, there is a single private chef's table that can seat 3 people.

Tables bought by the owner =
`m`

Number of people seated in 1 table = 4

So, number of persons that can be seated in
`m` tables =
`4* m=4m`

Now, total number of persons that can be seated in these two types of tables is the sum of 3 and
`4m`

Therefore,
`n = 4m+3`

But,
`n>75`

Hence, the inequality to show the situation is:

`4m+3>75`