MATH SOLVE

5 months ago

Q:
# 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

Accepted Solution

A:

Answer:A. -3.84 metersStep-by-step 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.= [tex]\frac{2}{100} .48[/tex]= [tex]\frac{96}{100}[/tex]= 0.96 meterSo, 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 metersTherefore, the answer is A. -3.84 meters