Given:
A deep sea diver started at sea level (0 feet).
Rate of diving = 5.6 feet per minute.
Time = [tex]\dfrac{1}{2}[/tex] hour
To find:
The rational number that represents his position relative to sea level.
Solution:
We know that,
1 hour = 60 minutes
[tex]\dfrac{1}{2}[/tex] hour = 30 minutes
A deep sea diver, dove at a rate of 5.6 feet per minute.
Distance covered in 1 minute = 5.6 feet
Distance covered in 30 minute = 30 × 5.6 feet
= 168 feet
The diver dove 168 feet in [tex]\dfrac{1}{2}[/tex] hour. Since it is below the sea level, therefore it should be negative.
So, the rational number that represents his position relative to sea level is [tex]-168[/tex] feet.
Therefore, the correct option is D.