Solve the Problem $\mathrm { f } ( \mathrm { x } ) = 600 ( 0.5 ) ^ { \mathrm { x } / 80 }$

question 113

Multiple Choice

Solve the problem.
-The function $\mathrm { f } ( \mathrm { x } ) = 600 ( 0.5 ) ^ { \mathrm { x } / 80 }$ 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 140 years. Round to the nearest whole number.

• A) 404 pounds
• B) 178 pounds
• C) 171 pounds
• D) 525 pounds

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