High School

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In order to better 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]
\[
\begin{array}{|c|c|c|c|c|}
\hline
\text{Week} & 1 & 2 & 3 & 4 \\
\hline
\text{Customers} & 2,848 & 3,141 & 3,861 & 3,911 \\
\hline
\text{Students} & 2,033 & 1,937 & 2,076 & 1,721 \\
\hline
\end{array}
\]
[/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 find out approximately how many high school students the store should expect next week, follow these steps:

1. Determine the Total Number of Customers and Students:
- Over the four-week period, add up the total number of customers:
- 2,848 + 3,141 + 3,861 + 3,911 = 13,761 customers in total.
- Similarly, add up the total number of students:
- 2,033 + 1,937 + 2,076 + 1,721 = 7,767 students in total.

2. Calculate the Proportion of Students to Customers:
- To find the proportion of customers who are high school students, divide the total number of students by the total number of customers:
- 7,767 (students) ÷ 13,761 (customers) ≈ 0.5644

3. Predict the Number of Students for Next Week:
- Mary predicts there will be 4,238 customers next week. Use the proportion calculated to estimate the number of students:
- 4,238 (predicted customers) × 0.5644 (student proportion) ≈ 2,392 students

Therefore, the store should expect approximately 2,392 high school students next week. The correct answer is option b.

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