Question

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 ≤ 100
b) 4s + 6l < 100
c) 4s + 6l ≥ 100
d) 4s + 6l > 100

Answer 1

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

Step-by-step 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.