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Carlos has taken an initial dose of a prescription medication. The function
M gives the amount of medication, in milligrams, in Carlos's bloodstream after
t hours.
What is the best interpretation for the following statement?

M^(')(5)=-1
Choose 1 answer:
(A) After 5 hours, Carlos's weight is decreasing by 1 milligram per hour.
B After 5 hours, the amount of medication is decreasing by 1 milligram per minute.
(C) After 5 hours, the amount of medication is decreasing by 1 milligram per hour.
(D) After 5 hours, Carlos is missing 1 milligram of medication in his bloodstream.

Carlos has taken an initial dose of a prescription medication. The function $M$ gives the amount of medication, in milligrams, in Carlos's bloodstream after $t$ hours. $\newline$ What is the best interpretation for the following statement? $\newline$ $M^{\prime}(5)=-1$ $\newline$ Choose $1$ answer: $\newline$ (A) After $5$ hours, Carlos's weight is decreasing by $1$ milligram per hour. $\newline$ (B) After $5$ hours, the amount of medication is decreasing by $1$ milligram per minute. $\newline$ (C) After $5$ hours, the amount of medication is decreasing by $1$ milligram per hour. $\newline$ (D) After $5$ hours, Carlos is missing $1$ milligram of medication in his bloodstream.

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Evaluate two-variable equations: word problems

Full solution

Q. Carlos has taken an initial dose of a prescription medication. The function

M

gives the amount of medication, in milligrams, in Carlos's bloodstream after

t

hours.

\newline

What is the best interpretation for the following statement?

\newline

M^{\prime}(5)=-1

\newline

Choose

1

answer:

\newline

(A) After

5

hours, Carlos's weight is decreasing by

1

milligram per hour.

\newline

(B) After

5

hours, the amount of medication is decreasing by

1

milligram per minute.

\newline

(C) After

5

hours, the amount of medication is decreasing by

1

milligram per hour.

\newline

(D) After

5

hours, Carlos is missing

1

milligram of medication in his bloodstream.

Interpretation of $M^{\prime}(5)=-1$ : $M^{\prime}(5)=-1$ indicates the rate of change of the medication amount in Carlos's bloodstream at $5$ hours. Since it's negative, it means the amount is decreasing.
Unit of Rate of Change: The unit for the rate of change is milligrams per hour, as the function $M$ is given in milligrams and $t$ is in hours.
Correct Interpretation: Therefore, the correct interpretation is that after $5$ hours, the amount of medication is decreasing by $1$ milligram per hour.

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