We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
- Calculate the student to customer ratio for each week.
- Calculate the average student to customer ratio: $r_{avg} \approx 0.5771$.
- Multiply the predicted number of customers by the average ratio to estimate the number of students: $4238 \times 0.5771 \approx 2445.58$.
- Round the result to the nearest whole number, which gives us the final answer: $\boxed{2446}$.
### Explanation
1. Understanding the Problem
We are given the number of customers and high school students who visited a clothing store for each of the four weeks. We are also given a prediction for the number of customers next week, and we want to estimate the number of high school students we should expect next week.
2. Calculating Student to Customer Ratios
To estimate the number of high school students, we can first calculate the ratio of students to customers for each of the four weeks.
3. Week 1 Ratio
Week 1: The ratio of students to customers is $\frac{2033}{2848} \approx 0.7138$.
4. Week 2 Ratio
Week 2: The ratio of students to customers is $\frac{1937}{3141} \approx 0.6167$.
5. Week 3 Ratio
Week 3: The ratio of students to customers is $\frac{2076}{3861} \approx 0.5377$.
6. Week 4 Ratio
Week 4: The ratio of students to customers is $\frac{1721}{3911} \approx 0.4400$.
7. Calculating the Average Ratio
Now, we can calculate the average student to customer ratio over the four weeks:$$r_{avg} = \frac{0.7138 + 0.6167 + 0.5377 + 0.4400}{4} = \frac{2.3082}{4} \approx 0.5771$$
8. Estimating the Number of Students
Next, we multiply the predicted number of customers next week (4238) by the average ratio to estimate the number of students:$$4238 \times 0.5771 \approx 2445.58$$
9. Rounding the Result
Finally, we round the result to the nearest whole number, which gives us 2446.
10. Final Answer
Therefore, the store should expect approximately 2446 high school students next week.
### Examples
Understanding customer demographics is super useful in the real world! Imagine you're managing a movie theater and notice that a certain percentage of your audience are teenagers. Knowing this, you can tailor your movie selections and snack bar offerings to better appeal to that age group, boosting your sales and creating a more enjoyable experience for your customers. Similarly, Mary can use her findings to decide what type of clothing to promote to attract more high school students to the store.
- Calculate the average student to customer ratio: $r_{avg} \approx 0.5771$.
- Multiply the predicted number of customers by the average ratio to estimate the number of students: $4238 \times 0.5771 \approx 2445.58$.
- Round the result to the nearest whole number, which gives us the final answer: $\boxed{2446}$.
### Explanation
1. Understanding the Problem
We are given the number of customers and high school students who visited a clothing store for each of the four weeks. We are also given a prediction for the number of customers next week, and we want to estimate the number of high school students we should expect next week.
2. Calculating Student to Customer Ratios
To estimate the number of high school students, we can first calculate the ratio of students to customers for each of the four weeks.
3. Week 1 Ratio
Week 1: The ratio of students to customers is $\frac{2033}{2848} \approx 0.7138$.
4. Week 2 Ratio
Week 2: The ratio of students to customers is $\frac{1937}{3141} \approx 0.6167$.
5. Week 3 Ratio
Week 3: The ratio of students to customers is $\frac{2076}{3861} \approx 0.5377$.
6. Week 4 Ratio
Week 4: The ratio of students to customers is $\frac{1721}{3911} \approx 0.4400$.
7. Calculating the Average Ratio
Now, we can calculate the average student to customer ratio over the four weeks:$$r_{avg} = \frac{0.7138 + 0.6167 + 0.5377 + 0.4400}{4} = \frac{2.3082}{4} \approx 0.5771$$
8. Estimating the Number of Students
Next, we multiply the predicted number of customers next week (4238) by the average ratio to estimate the number of students:$$4238 \times 0.5771 \approx 2445.58$$
9. Rounding the Result
Finally, we round the result to the nearest whole number, which gives us 2446.
10. Final Answer
Therefore, the store should expect approximately 2446 high school students next week.
### Examples
Understanding customer demographics is super useful in the real world! Imagine you're managing a movie theater and notice that a certain percentage of your audience are teenagers. Knowing this, you can tailor your movie selections and snack bar offerings to better appeal to that age group, boosting your sales and creating a more enjoyable experience for your customers. Similarly, Mary can use her findings to decide what type of clothing to promote to attract more high school students to the store.
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