Answer:
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