Solve the Problem A) $\mathrm { y } = 92 \mathrm { e } ^ { - 0.0686 \mathrm { x } } , 5.9 \mathrm { mg }$

question 493

Multiple Choice

Solve the problem.
-A nuclear scientist has a sample of 100 mg of a radioactive material which has a half-life in hours. She monitors the amount of radioactive material over a period of a day and obtains the following data. Use a graphing utility
To fit an exponential function to the data. Predict the amount of material remaining at 40 hours. $\begin{array}{l|lcccccc}\text { Hours } & 0 & 5 & 10 & 15 & 20 & 25 & 30 \\\hline \mathrm{mg} & 100 & 68.3 & 45.2 & 31.3 & 21.5 & 14.6 & 9.8\end{array}$

• A) \(\mathrm { y } = 92 \mathrm { e } ^ { - 0.0686 \mathrm { x } } , 5.9 \mathrm { mg }\)
• C) \(\mathrm { y } = 100 \mathrm { e } ^ { - 0.077 \mathrm { x } } , 4.6 \mathrm { mg }\)
• D) \(\mathrm { y } = 100 \mathrm { e } ^ { - 0.077 \mathrm { x } } , 6.7 \mathrm { mg }\)

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Definitions:

Terminal Illness

A disease or condition that is likely to lead to the death of the patient within a short time frame, often without the possibility of cure.

Renal Failure

A medical condition in which the kidneys lose the ability to sufficiently filter waste from the blood.

Hospices

Specialized facilities or services that provide care and support for terminally ill patients and their families, focusing on comfort and quality of life.

Hospital Treatment

Medical or surgical care received in a hospital setting, often involving overnight stays or specialized procedures.