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An online furniture store sells chairs for 
$150 each and tables for 
$350 each. The store must sell at least 
$6600 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:

An online furniture store sells chairs for $150 \$ 150 each and tables for $350 \$ 350 each. The store must sell at least $6600 \$ 6600 worth of chairs and tables each day. Write an inequality that could represent the possible values for the number of tables sold, t t , and the number of chairs sold, c c , that would satisfy the constraint.\newlineAnswer:

Full solution

Q. An online furniture store sells chairs for $150 \$ 150 each and tables for $350 \$ 350 each. The store must sell at least $6600 \$ 6600 worth of chairs and tables each day. Write an inequality that could represent the possible values for the number of tables sold, t t , and the number of chairs sold, c c , that would satisfy the constraint.\newlineAnswer:
  1. Define Variables: Let's define the variables:\newline- Let cc be the number of chairs sold.\newline- Let tt be the number of tables sold.\newlineEach chair is sold for $150\$150 and each table for $350\$350.\newlineThe store needs to sell at least $6600\$6600 worth of chairs and tables each day.\newlineWe can write an inequality to represent this situation.
  2. Total Sales Calculation: We can express the total sales from chairs as 150c150c (since each chair is sold for $150\$150) and the total sales from tables as 350t350t (since each table is sold for $350\$350).\newlineThe inequality that represents the store's requirement to sell at least $6600\$6600 worth of furniture daily is:\newline150c+350t6600150c + 350t \geq 6600
  3. Inequality Verification: Now, we need to check if the inequality is correctly set up.\newlineThe inequality 150c+350t6600150c + 350t \geq 6600 means that the total sales from chairs and tables must be greater than or equal to $6600\$6600.\newlineThis matches the store's requirement, so the inequality is correct.

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