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In order to decide how to market a new line of clothing, Mary is researching the demographics of the customers of a certain clothing store. She counted the number of customers who visited the store over the course of a month and found out how many of the customers were high school students. Her collected data is in the table below.

[tex]
\[
\begin{tabular}{|c|c|c|c|c|}
\hline
\text{Week} & 1 & 2 & 3 & 4 \\
\hline
\text{Customers} & 2,848 & 3,141 & 3,861 & 3,911 \\
\hline
\text{Students} & 2,033 & 1,937 & 2,076 & 1,721 \\
\hline
\end{tabular}
\]
[/tex]

Mary predicts that the store will see 4,238 customers next week. Approximately how many high school students should the store expect next week?

A. 1,865
B. 2,392
C. 2,446
D. 3,025

Answer :

To predict the number of high school students expected next week at the store, we should follow these steps:

1. Understand the Data: We have data from four weeks that tells us the number of customers and how many of them were high school students.

2. Calculate Total Numbers:
- Total number of customers over the four weeks: 2,848 + 3,141 + 3,861 + 3,911 = 13,761
- Total number of high school students over the four weeks: 2,033 + 1,937 + 2,076 + 1,721 = 7,767

3. Find the Proportion:
- To find what portion of the customers were students, divide the total number of students by the total number of customers: [tex]\( \frac{7,767}{13,761} \approx 0.564 \)[/tex]

4. Predict Next Week's Students:
- Mary predicts 4,238 customers next week. Using the proportion of students, we can estimate the number of high school students:
[tex]\[
4,238 \times 0.564 \approx 2,392
\][/tex]

Therefore, approximately 2,392 high school students are expected to visit the store next week. The correct answer is b. 2,392.

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