High School

A catering company has small tables and large tables. Small tables seat 4 people, and large tables seat 6 people. You are planning a party for at most 100 guests. Write an inequality that represents this situation. Let \( s \) represent the small tables and \( l \) represent the large tables.

a) \( 4s + 6l \leq 100 \)
b) \( 4s + 6l < 100 \)
c) \( 4s + 6l \geq 100 \)
d) \( 4s + 6l > 100 \)

Answer :

Final answer:

The inequality that represents this situation is 4s + 6l ≤ 100.

Explanation:

To represent the situation where a catering company has small tables and large tables and wants to seat at most 100 guests, we can use the inequality 4s + 6l ≤ 100. Here, s represents the number of small tables and l represents the number of large tables. The inequality ensures that the total number of seats (4s for small tables and 6l for large tables) does not exceed 100.

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