Question

A deep sea diver started at sea level (0 feet) and dove at a rate of 5.6 feet per minute. If the diver dove for ½ hour, what rational number represents his position relative to sea level? Show your work. A. 168 feet B. 2.8 feet C. -2.8 feet D. -168 feet

Answer 1

Given:

A deep sea diver started at sea level (0 feet).

Rate of diving = 5.6 feet per minute.

Time = $\dfrac{1}{2}$ hour

To find:

The rational number that represents his position relative to sea level.

Solution:

We know that,

1 hour = 60 minutes

$\dfrac{1}{2}$ 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 $\dfrac{1}{2}$ 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 $-168$ feet.

Therefore, the correct option is D.