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:

Client-Centered Therapists

Psychologists who practice a form of psychotherapy that focuses on creating a supportive, accepting environment for clients to explore their feelings.

Frame of Reference

The set of criteria or stated values in relation to which measurements or judgments can be made, shaping an individual's perception and interpretation of their experience.

Pharmacotherapy

The treatment of diseases and disorders with pharmaceutical drugs as opposed to surgeries or other forms of therapy.

Psychotherapy

A systematic interaction between a therapist and a client that brings psychological principles to bear on influencing the client’s thoughts, feelings, or behavior to help the client overcome psychological disorders, adjust to problems in living, or develop as an individual.