brazil-enem 2017 Q151

brazil-enem · Other · enem__day2 Measures of Location and Spread
The evaluation of student performance in a university course is based on the weighted average of grades obtained in the disciplines by their respective number of credits, as shown in the table:
EvaluationAverage grade (M)
Excellent$9 < M \leq 10$
Good$7 \leq M \leq 9$
Regular$5 \leq M < 7$
Poor$3 \leq M < 5$
Very Poor$M < 3$

A certain student knows that if he obtains a ``Good'' or ``Excellent'' evaluation, he will be able to enroll in the disciplines he desires. He has already taken the exams for 4 of the 5 disciplines in which he is enrolled, but has not yet taken the exam for discipline I, as shown in the table.
DisciplinesGrades\begin{tabular}{ c } Number
of credits
\hline I & & 12 \hline II & 8.00 & 4 \hline III & 6.00 & 8 \hline IV & 5.00 & 8 \hline V & 7.50 & 10 \hline \end{tabular}
In order to achieve his objective, the minimum grade he must obtain in discipline I is
(A) 7.00.
(B) 7.38.
(C) 7.50.
(D) 8.25.
(E) 9.00.
The evaluation of student performance in a university course is based on the weighted average of grades obtained in the disciplines by their respective number of credits, as shown in the table:

\begin{center}
\begin{tabular}{ | c | c | }
\hline
Evaluation & Average grade (M) \\
\hline
Excellent & $9 < M \leq 10$ \\
\hline
Good & $7 \leq M \leq 9$ \\
\hline
Regular & $5 \leq M < 7$ \\
\hline
Poor & $3 \leq M < 5$ \\
\hline
Very Poor & $M < 3$ \\
\hline
\end{tabular}
\end{center}

A certain student knows that if he obtains a ``Good'' or ``Excellent'' evaluation, he will be able to enroll in the disciplines he desires. He has already taken the exams for 4 of the 5 disciplines in which he is enrolled, but has not yet taken the exam for discipline I, as shown in the table.

\begin{center}
\begin{tabular}{ | c | c | c | }
\hline
Disciplines & Grades & \begin{tabular}{ c } Number \\ of credits \\ \end{tabular} \\
\hline
I & & 12 \\
\hline
II & 8.00 & 4 \\
\hline
III & 6.00 & 8 \\
\hline
IV & 5.00 & 8 \\
\hline
V & 7.50 & 10 \\
\hline
\end{tabular}
\end{center}

In order to achieve his objective, the minimum grade he must obtain in discipline I is\\
(A) 7.00.\\
(B) 7.38.\\
(C) 7.50.\\
(D) 8.25.\\
(E) 9.00.