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A bookstore owner has monthly fixed costs of $5,500, and for each book sold, she has additional costs of $0.40. The owner does not want her average monthly costs to exceed $7,000. If b is the average number of books sold per month, which of the following inequalities best represents this situation? Choose 1 answer: (A) 5,500+0.40 b > 7,000 (B) 0.40(5,500+b) <= 7,000 (c) 5,500+40 b <= 7,000 (D) 5,500+0.40 b <= 7,000

A bookstore owner has monthly fixed costs of $5,500 \$ 5,500 , and for each book sold, she has additional costs of $0.40 \$ 0.40 . The owner does not want her average monthly costs to exceed $7,000 \$ 7,000 . If b b is the average number of books sold per month, which of the following inequalities best represents this situation?\newlineChoose 11 answer:\newline(A) 5,500+0.40 b>7,000 \newline(B) 0.40(5,500+b)≤7,000 0.40(5,500+b) \leq 7,000 \newline(C) 5,500+40b≤7,000 5,500+40 b \leq 7,000 \newline(D) 5,500+0.40b≤7,000 5,500+0.40 b \leq 7,000

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Q. A bookstore owner has monthly fixed costs of $5,500 \$ 5,500 , and for each book sold, she has additional costs of $0.40 \$ 0.40 . The owner does not want her average monthly costs to exceed $7,000 \$ 7,000 . If b b is the average number of books sold per month, which of the following inequalities best represents this situation?\newlineChoose 11 answer:\newline(A) 5,500+0.40b>7,000 5,500+0.40 b>7,000 \newline(B) 0.40(5,500+b)≤7,000 0.40(5,500+b) \leq 7,000 \newline(C) 5,500+40b≤7,000 5,500+40 b \leq 7,000 \newline(D) 5,500+0.40b≤7,000 5,500+0.40 b \leq 7,000
  1. Fixed Monthly Costs: The bookstore owner has fixed monthly costs of $5,500\$5,500. This is a constant value that does not change with the number of books sold.
  2. Variable Costs for Books: For each book sold, there is an additional cost of $0.40\$0.40. If bb represents the average number of books sold per month, then the total variable cost for books is 0.40b0.40b.
  3. Total Monthly Cost: The total monthly cost is the sum of the fixed costs and the variable costs. Therefore, the total monthly cost can be represented by the expression 5,500+0.40b5,500 + 0.40b.
  4. Monthly Cost Limit: The owner wants the average monthly costs to not exceed $7,000\$7,000. This means the total monthly cost should be less than or equal to $7,000\$7,000. The inequality to represent this situation is 5,500+0.40b≤7,0005,500 + 0.40b \leq 7,000.
  5. Matching Option: Now we need to check the given options to see which one matches our derived inequality. Option (D) states 5,500+0.40b≤7,0005,500 + 0.40b \leq 7,000, which is exactly the inequality we have determined to be correct.

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