Dolphin 1 dove 200 feet under water. Dolphin 2 dove 30% farther. After Dolphin 2 dove down, it ascended 25 1/2 feet and then descended 40 1/2 feet. How far under the water is Dolphin 2?
A
295 feet
B
275 feet
C
245 feet
D
215 feet
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To determine how far underwater Dolphin 2 is, we need to calculate the total distance it dove.
First, we will find out how far Dolphin 1 dove: 200 feet.
Next, we need to calculate how much farther Dolphin 2 dove compared to Dolphin 1. To do this, we multiply Dolphin 1's depth (200 feet) by 30%:
30% of 200 = 0.3 * 200 = 60 feet
Dolphin 2 dove 60 feet farther than Dolphin 1, so its total depth is:
200 feet + 60 feet = 260 feet.
After Dolphin 2 dove down, it ascended 25 1/2 feet, which means it swam upward. To calculate the new depth after ascending, we subtract 25 1/2 feet from the previous depth:
260 feet - 25 1/2 feet = 234.5 feet.
Finally, Dolphin 2 descended 40 1/2 feet, so we subtract that depth:
234.5 feet - 40 1/2 feet = 194 feet.
Therefore, Dolphin 2 is 194 feet underwater.
The correct answer is D) 215 feet.