An online furniture store sells chairs for $100 each and tables for $650 each. The store must sell a minimum of $3700 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. Answer:

Question

An online furniture store sells chairs for  $100 each and tables for  $650 each. The store must sell a minimum of  $3700 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. Answer:

Bytelearn · Accepted Answer

Define Variables: Let's define the variables: - c represents the number of chairs sold. - t represents the number of tables sold. Each chair is sold for $100 and each table for $650. The store needs to sell at least $3700 worth of chairs and tables each day. We can write an inequality to represent this situation.Calculate Total Sales: We can express the total daily sales in terms of c and t by multiplying the number of chairs sold by the price per chair and the number of tables sold by the price per table. This gives us the equation: 100c + 650t. Since the store must sell a minimum of $3700 worth of chairs and tables each day, the inequality will be: 100c + 650t ≥ 3700.Check Inequality: Now, we need to check if the inequality is correct and makes sense in the context of the problem. The inequality states that the combined sales from chairs and tables must be at least $3700, which aligns with the problem's requirement. Therefore, the inequality is correctly set up.

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