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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Definitions:

Materials

The raw goods and components used in the manufacturing or production process to create final products.

Spending Variance

The difference between the actual amount spent and the budgeted amount for a specific period.

Medical Supplies

Items and equipment used in medical care, often consumable, disposable, or for patient management and diagnosis.

Flexible Budget

A budget that adjusts or flexes for changes in the volume of activity, allowing for more accurate forecasting and planning.