Question

An online furniture store sells chairs for $100 each and tables for $500 each. The store must sell a minimum of $8300 worth of chairs and tables each day. Write an inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint.

A) 100t + 500c ≥ 8300
B) 500t + 100c ≥ 8300
C) 100t + 100c ≥ 8300
D) 500t + 500c ≥ 8300

Answer 1

The correct inequality that represents the possible values for the number of tables sold, t, and the number of chairs sold, c, is A) 100t + 500c ≥ 8300.

Step-by-step explanation:

The correct inequality that represents the possible values for the number of tables sold, t, and the number of chairs sold, c, is A) 100t + 500c ≥ 8300.

To determine the correct inequality, we need to consider the prices of the chairs and tables. The chairs are sold for $100 each and the tables are sold for $500 each. In order to meet the minimum daily sales requirement of $8300, we can multiply the number of chairs sold, c, by $100 and the number of tables sold, t, by $500 and set the expression greater than or equal to $8300. This gives us 100c + 500t ≥ 8300.

Therefore, the correct inequality is A) 100t + 500c ≥ 8300.