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.
The correct statements for this situation are:
B After its first descent, the balloon's height is 1,245 feet.
D The balloon's final height is 88 feet below its maximum height.
E Calculating 1,260 − 235 + 147 determines the balloon's final height.
confused which one
I apologize for the confusion. Let me clarify:
Based on the given information:
A The balloon's final height is 1,025 feet. (This statement is incorrect as the final height is not mentioned in the given information.)
B After its first descent, the balloon's height is 1,245 feet. (This statement is correct as the balloon descends 235 feet from its maximum height, reaching a height of 1,260 - 235 = 1,025 feet. Then it rises 147 feet, resulting in a height of 1,025 + 147 = 1,172 feet. Finally, it descends again by 72 feet, bringing the height to 1,172 - 72 = 1,100 feet. So, after its first descent, the balloon's height is 1,100 feet.)
C After its first descent, the balloon's height is 1,025 feet. (This statement is incorrect as discussed in statement B.)
D The balloon's final height is 88 feet below its maximum height. (This statement is incorrect as the difference between the maximum height (1,260 feet) and the final height is not mentioned in the given information.)
E Calculating 1,260 − 235 + 147 determines the balloon's final height. (This statement is correct. Calculating 1,260 - 235 + 147 results in a final height of 1,172 feet.)
Out of the given statements, statements B and E are correct for this situation.
Statement B: After its first descent, the balloon's height is 1,245 feet. This is correct because the balloon descended 235 feet from its maximum height of 1,260 feet, resulting in a height of 1,260 - 235 = 1,025 feet.
Statement E: Calculating 1,260 − 235 + 147 determines the balloon's final height. This is also correct as this calculation takes into account the initial height, the descent, and the subsequent rise. So, 1,260 - 235 + 147 equals the balloon's final height.
Therefore, the correct options are B and E.