A new theater is being built for the city ballet. The balcony has 200 seats. The floor has 10 rows with x seats in each row. The number of people in the theater must be under 500 to meet fire safety regulations. What is the solution of this inequality, and what is it's meaning? A. 10x + 200 > 500; the new theater must have more than 30 seats in each row on the floor to meet fire safety regulations. B. 10x + 200 < 500; the new theater must have fewer than 30 seats in each row on the floor to meet fire safety regulations. C. 10x > 500; the new theater must have more than 50 seats in each row on the floor to meet fire safety regulations. D. 10x < 500; the new theater must have fewer than 50 seats in each row on the floor to meet fire safety regulations.

B. 10x + 200 < 500; the new theater must have fewer than 30 seats in each row on the floor to meet fire safety regulations

Step-by-step explanation:

We are told that the number of people in the theater must be under 500.

This means that total number of people in the balcony and floor must be less than 500.

Now,we are told there are 200 seats in the balcony while the floor has 10 rows with x seats in each row.

Thus;

Balcony can take 200 people

While floor can take 10x people

Thus; (200 + 10x) must be less than 500.

This is written as;

200 + 10x < 500

Solving the inequality, let's subtract 200 from both sides to get;

10x < 300

Divide both sides by 10 to get;

x < 30

Thus,number of seats on the floor must be less than 30.

Correct Answer is option B

b

step-by-step explanation:

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