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?

There are 3 seats currently, and there will be 4m extra seats if he buys m tables.

So, buying m tables give a total of seats.

If we want this total to be at least 75, we have

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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