Question

A penguin can dive 48 meters below the surface of the water to reach a fish. It dives 2% of the total depth every 1 second. What is the total depth of the penguin after 4 seconds?

A. −3.84 meters
B. −0.96 meters
C. −1.92 meters
D. −2.88 meters

Answer 1

A. -3.84 meters

Explanation:

Given:

A penguin can dive 2% of the total depth every 1 second.

Total depth = 48 meters.

Now we have to find 2% of 48.

=
`(2)/(100) .48`

=
`(96)/(100)`

= 0.96 meter

So, the penguin dives -0.96 meters per seconds down the water.

The negative sign represents below the surface of the water.

The total depth of the penguin after 4 seconds = 4 times -0.96

= -3.84 meters

Therefore, the answer is A. -3.84 meters