Question

The position of a large fish relative to the water surface was −1713 feet. It suddenly dove straight down and increased its depth by 612 feet. What is the position of the fish now relative to the water surface? Enter your answer as a mixed number, in simplified form, in the box.

1. \( -1101 \frac{3}{4} \) feet
2. \( -1100 \frac{1}{4} \) feet
3. \( -1099 \frac{3}{4} \) feet
4. \( -1100 \frac{3}{4} \) feet

Answer 1

The position of the fish relative to the water surface was -1713 feet. When the fish dove straight down and increased its depth by 612 feet, its new position relative to the water surface can be found by adding the increase in depth to its initial position. The position of the fish relative to the water surface is -1101 3/4 feet.

Step-by-step explanation:

The position of the fish relative to the water surface was -1713 feet. When the fish dove straight down and increased its depth by 612 feet, its new position relative to the water surface can be found by adding the increase in depth to its initial position. So, -1713 feet + 612 feet = -1101 feet. However, the fish appears at 3/4 of the real depth when viewed from above. Therefore, the fish's position relative to the water surface is -1101 feet + 3/4 feet = -1101 3/4 feet.