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Answer :
To find out how many high school students the store should expect next week based on the predicted number of total customers, we can follow these steps:
1. Total Customers and Students in the Past: Mary collected data over four weeks regarding the number of total customers and the number of high school students. Here's the data:
- Week 1: 2,848 customers; 2,033 students
- Week 2: 3,141 customers; 1,937 students
- Week 3: 3,861 customers; 2,076 students
- Week 4: 3,911 customers; 1,721 students
2. Calculate Total for Past Weeks:
- Total Customers: Add up the total customers for the four weeks:
[tex]\( 2,848 + 3,141 + 3,861 + 3,911 = 13,761 \)[/tex]
- Total High School Students: Add up the high school students for the four weeks:
[tex]\( 2,033 + 1,937 + 2,076 + 1,721 = 7,767 \)[/tex]
3. Calculate the Proportion of High School Students: Determine the proportion of students to total customers.
- Proportion = Total Students / Total Customers
[tex]\( 7,767 \, \text{students} \, / \, 13,761 \, \text{customers} \approx 0.5644 \)[/tex]
4. Predict High School Students for Next Week: Mary predicts there will be 4,238 customers next week. To find out how many of these might be high school students:
- Multiply the predicted number of customers by the student proportion:
[tex]\( 4,238 \times 0.5644 \approx 2,392 \)[/tex]
Based on this calculation, the store should expect approximately 2,392 high school students next week. Therefore, the best answer from the choices provided is b. 2,392.
1. Total Customers and Students in the Past: Mary collected data over four weeks regarding the number of total customers and the number of high school students. Here's the data:
- Week 1: 2,848 customers; 2,033 students
- Week 2: 3,141 customers; 1,937 students
- Week 3: 3,861 customers; 2,076 students
- Week 4: 3,911 customers; 1,721 students
2. Calculate Total for Past Weeks:
- Total Customers: Add up the total customers for the four weeks:
[tex]\( 2,848 + 3,141 + 3,861 + 3,911 = 13,761 \)[/tex]
- Total High School Students: Add up the high school students for the four weeks:
[tex]\( 2,033 + 1,937 + 2,076 + 1,721 = 7,767 \)[/tex]
3. Calculate the Proportion of High School Students: Determine the proportion of students to total customers.
- Proportion = Total Students / Total Customers
[tex]\( 7,767 \, \text{students} \, / \, 13,761 \, \text{customers} \approx 0.5644 \)[/tex]
4. Predict High School Students for Next Week: Mary predicts there will be 4,238 customers next week. To find out how many of these might be high school students:
- Multiply the predicted number of customers by the student proportion:
[tex]\( 4,238 \times 0.5644 \approx 2,392 \)[/tex]
Based on this calculation, the store should expect approximately 2,392 high school students next week. Therefore, the best answer from the choices provided is b. 2,392.
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