Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

at honea college, 100 - level classes are basic degree requirements tha…

Question

at honea college, 100 - level classes are basic degree requirements that must be taken by all students to graduate. 200 - level classes are advanced classes that students must take for their majors and 400 - level classes are graduate level classes that students can opt to take but are not required to graduate. the table lists the 100 -, 200 -, and 400 - level classes that are currently being taken by the freshmen, sophomores, and juniors enrolled at honea college. information for the seniors at honea college is not included in the table.
difficulty level of undergraduate classes at honea college

there are currently 1,326 seniors enrolled at honea college. which of the following is closest to the percentage of all undergraduate students at honea college who are juniors that are currently taking graduate level classes?

Explanation:

Step1: Find the number of juniors taking graduate - level classes

From the table, the number of juniors taking 400 - level (graduate - level) classes is \(636\).

Step2: Find the total number of undergraduate students

The total number of non - senior undergraduate students is \(5432\) (from the table), and there are \(1326\) seniors. So the total number of undergraduate students is \(5432 + 1326=6758\).

Step3: Calculate the percentage

The percentage formula is \(\text{Percentage}=\frac{\text{Part}}{\text{Whole}}\times100\). Here, the part is the number of juniors taking graduate - level classes (\(n = 636\)), and the whole is the total number of undergraduate students (\(N=6758\)).
\(\text{Percentage}=\frac{636}{6758}\times 100\approx\frac{636}{6760}\times100\)
\(\frac{636}{6760}\times100=\frac{63600}{6760}\approx9.41\)

Answer:

Approximately \(9.4\%\)