Questions: You are performing marketing research to find out the purchasing potential of students in the community. Based on the latest census, there are 9,860 students in a population of 62,400 people. What percent of the total population is students?
A 6.3
B 7.3
C 15.8
D 52.5
E 84.2
Transcript text: You are performing marketing research to find out the purchasing potential of students in the community. Based on the latest census, there are 9,860 students in a population of 62,400 people. What percent of the total population is students?
A 6.3
B 7.3
C 15.8
D 52.5
E 84.2
Solution
Solution Steps
To find the percentage of students in the total population, we need to divide the number of students by the total population and then multiply by 100.
Step 1: Identify the Given Data
We are given:
The number of students: \( 9860 \)
The total population: \( 62400 \)
Step 2: Set Up the Percentage Formula
To find the percentage of students in the total population, we use the formula:
\[
\text{Percentage} = \left( \frac{\text{Number of Students}}{\text{Total Population}} \right) \times 100
\]
Step 3: Substitute the Given Values
Substitute the given values into the formula:
\[
\text{Percentage} = \left( \frac{9860}{62400} \right) \times 100
\]
Step 4: Perform the Calculation
Calculate the fraction:
\[
\frac{9860}{62400} \approx 0.1580128205128205
\]
Then multiply by 100 to convert to a percentage:
\[
0.1580128205128205 \times 100 \approx 15.8013
\]
Final Answer
The percentage of students in the total population is approximately \( 15.8013\% \). Therefore, the answer is:
\[
\boxed{15.8}
\]
The correct choice is C.