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Answer :
- Calculate the ratio of students to customers for each week.
- Determine the average student-to-customer ratio over the four weeks.
- Multiply the predicted number of customers by the average ratio to estimate the number of students.
- Round the estimated number of students to the nearest whole number: $\boxed{2446}$.
### Explanation
1. Calculate Student-Customer Ratios
First, we need to determine the ratio of high school students to total customers for each week. This will help us estimate the proportion of students expected next week.
2. Week 1 Ratio
For Week 1, the ratio is $\frac{2033}{2848} \approx 0.7138$.
3. Week 2 Ratio
For Week 2, the ratio is $\frac{1937}{3141} \approx 0.6167$.
4. Week 3 Ratio
For Week 3, the ratio is $\frac{2076}{3861} \approx 0.5377$.
5. Week 4 Ratio
For Week 4, the ratio is $\frac{1721}{3911} \approx 0.4400$.
6. Calculate Average Ratio
Next, we calculate the average of these four ratios:$$\frac{0.7138 + 0.6167 + 0.5377 + 0.4400}{4} \approx 0.5771$$
7. Estimate Number of Students
Now, we multiply the predicted number of customers next week (4238) by the average ratio to estimate the number of high school students:$$4238 \times 0.5771 \approx 2445.58$$
8. Round to Nearest Whole Number
Finally, we round the result to the nearest whole number, which is 2446.
### Examples
Understanding customer demographics is crucial for tailoring marketing strategies. For instance, if a clothing store knows that approximately 58% of its customers are high school students, it can adjust its inventory and marketing campaigns to better appeal to this demographic. This could involve stocking more trendy items, offering student discounts, or advertising through school events. By understanding the customer base, the store can optimize its sales and customer satisfaction.
- Determine the average student-to-customer ratio over the four weeks.
- Multiply the predicted number of customers by the average ratio to estimate the number of students.
- Round the estimated number of students to the nearest whole number: $\boxed{2446}$.
### Explanation
1. Calculate Student-Customer Ratios
First, we need to determine the ratio of high school students to total customers for each week. This will help us estimate the proportion of students expected next week.
2. Week 1 Ratio
For Week 1, the ratio is $\frac{2033}{2848} \approx 0.7138$.
3. Week 2 Ratio
For Week 2, the ratio is $\frac{1937}{3141} \approx 0.6167$.
4. Week 3 Ratio
For Week 3, the ratio is $\frac{2076}{3861} \approx 0.5377$.
5. Week 4 Ratio
For Week 4, the ratio is $\frac{1721}{3911} \approx 0.4400$.
6. Calculate Average Ratio
Next, we calculate the average of these four ratios:$$\frac{0.7138 + 0.6167 + 0.5377 + 0.4400}{4} \approx 0.5771$$
7. Estimate Number of Students
Now, we multiply the predicted number of customers next week (4238) by the average ratio to estimate the number of high school students:$$4238 \times 0.5771 \approx 2445.58$$
8. Round to Nearest Whole Number
Finally, we round the result to the nearest whole number, which is 2446.
### Examples
Understanding customer demographics is crucial for tailoring marketing strategies. For instance, if a clothing store knows that approximately 58% of its customers are high school students, it can adjust its inventory and marketing campaigns to better appeal to this demographic. This could involve stocking more trendy items, offering student discounts, or advertising through school events. By understanding the customer base, the store can optimize its sales and customer satisfaction.
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