A bookstore has 45 copies of a bestseller available on Saturday morning. Twenty-one customers purchase the book that day. On Monday, a shipment of 25 books arrives and 14 copies are sold. Which statements are correct?
Responses
A The integer 14 represents the sale of 14 books.The integer 14 represents the sale of 14 books.
B The integer 25 represents the new shipment.The integer 25 represents the new shipment.
C The integer −21 represents the sale of 21 books.The integer −21 represents the sale of 21 books.
D After Monday's sales, 35 copies are available.After Monday's sales, 35 copies are available.
E After Monday's sales, 26 copies are available.
A. The integer 14 represents the sale of 14 books. - This statement is correct.
B. The integer 25 represents the new shipment. - This statement is correct.
C. The integer −21 represents the sale of 21 books. - This statement is incorrect. The integer -21 would represent a decrease or loss of 21 books, not the sale of 21 books.
D. After Monday's sales, 35 copies are available. - This statement is incorrect. After Monday's sales, there would be 45 books from Saturday + 25 new shipment - 14 copies sold = 56 copies available.
E. After Monday's sales, 26 copies are available. - This statement is incorrect. After Monday's sales, there would be 45 books from Saturday + 25 new shipment - 14 copies sold = 56 copies available.
A hot air balloon reaches its maximum height of 1,260 feet within 15 minutes of liftoff. After descending 235 feet, it rises 147 feet. Which statements are correct for this situation?
Responses
A The balloon's final height is 1,025 feet.The balloon's final height is 1,025 feet.
B After its first descent, the balloon's height is 1,245 feet.After its first descent, the balloon's height is 1,245 feet.
C After its first descent, the balloon's height is 1,025 feet.After its first descent, the balloon's height is 1,025 feet.
D The balloon's final height is 88 feet below its maximum height.The balloon's final height is 88 feet below its maximum height.
E Calculating 1,260 − 235 + 147 determines the balloon's final height.
A. The balloon's final height is 1,025 feet. - This statement is incorrect. The final height should be calculated based on the given information.
B. After its first descent, the balloon's height is 1,245 feet. - This statement is incorrect. The balloon's height after the first descent would be calculated based on the given information.
C. After its first descent, the balloon's height is 1,025 feet. - This statement is incorrect. The balloon's height after the first descent would be calculated based on the given information.
D. The balloon's final height is 88 feet below its maximum height. - This statement is incorrect. The final height should be calculated based on the given information.
E. Calculating 1,260 − 235 + 147 determines the balloon's final height. - This statement is correct. The final height can be calculated by subtracting the first descent (235 feet) from the maximum height (1,260 feet) and then adding the second ascent (147 feet).
Statements A and D are correct.
Statement A is correct because the integer 14 represents the sale of 14 books.
Statement D is correct because after Monday's sales of 14 copies, there are 45 (original number of copies) + 25 (new shipment) - 14 (books sold) = 56 - 14 = 42 copies available.