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a theater has 45 seats per row. which inequality shows rows needed for …

Question

a theater has 45 seats per row. which inequality shows rows needed for over 200 people?
45 · r > 200
r - 45 > 200
r + 45 > 200
45r > 200

Explanation:

Step1: Define the variable

Let \( r \) be the number of rows. Each row has 45 seats, so the total number of seats (which should be over 200 for the people) is the number of rows times the number of seats per row, that is \( 45\times r \) or \( 45r \).

Step2: Set up the inequality

We need the total number of seats to be over 200 people, so the inequality should be \( 45r>200 \).

Answer:

\( 45r > 200 \) (the option with this inequality)