Solve the Problem $f ( x ) = 300 ( 0.5 ) ^ { x / 90 }$

question 220

Multiple Choice

Solve the problem.
-The function f $f ( x ) = 300 ( 0.5 ) ^ { x / 90 }$ 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 200 years. Round to the nearest whole number.

• A) 333 pounds
• B) 220 pounds
• C) 68 pounds
• D) 64 pounds

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Definitions:

Weber Test

A hearing test that uses a tuning fork to evaluate conductive and sensorineural hearing loss across both ears.

Rinne Test

A hearing test using a tuning fork to compare air conduction to bone conduction of sound.

Vestibule

An anatomical space or cavity at the entrance of some structures, especially the central part of the bony labyrinth in the inner ear, involved in balance.

Cochlea

A spiral-shaped, fluid-filled inner ear structure essential for hearing.