Solve the Problem $f ( x ) = 300 ( 0.5 ) ^ { x / 100 }$

question 164

Multiple Choice

Solve the problem.
-The function $f ( x ) = 300 ( 0.5 ) ^ { x / 100 }$ models the amount in pounds of a particular radioactive material stored in a concrete vault, where $x$ is the number of years since the material was put into the vault. Find the amount of radioactive material in the vault after 120 years. Round to the nearest whole number.

• A) 131 pounds
• B) 168 pounds
• C) 180 pounds
• D) 125 pounds

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Definitions:

Alveoli

Tiny air sacs in the lungs where the exchange of oxygen and carbon dioxide occurs.

Diaphragm

A dome-shaped, muscular partition separating the thorax from the abdomen in mammals, playing a major role in breathing by contracting and expanding the lungs.

Bronchi

The large air passages that lead from the trachea (windpipe) into the lungs and become smaller tubes within the lungs called bronchioles.

Trachea

A large membranous tube reinforced by rings of cartilage, extending from the larynx to the bronchial tubes, conveying air to and from the lungs.