Final answer:
After 4 seconds, the penguin has dived 3.84 meters below the surface of the water, calculated by taking 2% of the total depth each second.
Step-by-step explanation:
The question is asking to determine how far a penguin has dived after 4 seconds, given that it dives 2% of the total depth of 48 meters every second. To calculate this, we can use the following steps:
- First, find 2% of the total depth: 2% of 48 meters = 0.02 × 48 = 0.96 meters.
- Next, calculate the total depth after 4 seconds by multiplying the depth dived per second by the number of seconds: 0.96 meters per second × 4 seconds = 3.84 meters.
- Since the penguin is diving below the surface, the depth should be represented as a negative value to indicate that it is below the surface level: – 3.84 meters.
Therefore, after 4 seconds, the penguin is 3.84 meters below the surface of the water.