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Answer :
To solve this problem, we begin by estimating the percentage of customers who are high school students based on the data given for the month. Here are the steps:
1. First, we sum the number of customers over the four weeks:
[tex]$$
\text{Total Customers} = 2848 + 3141 + 3861 + 3911 = 13761.
$$[/tex]
2. Next, we sum the number of high school students over those weeks:
[tex]$$
\text{Total Students} = 2033 + 1937 + 2076 + 1721 = 7767.
$$[/tex]
3. The ratio of high school students to total customers is then:
[tex]$$
\text{Ratio} = \frac{7767}{13761} \approx 0.56442.
$$[/tex]
4. Mary predicts that there will be 4238 customers next week. To find the estimated number of high school students, we multiply the ratio by the predicted number of customers:
[tex]$$
\text{Predicted Students} = 4238 \times 0.56442 \approx 2392.02.
$$[/tex]
5. Since we are dealing with people, we round to the nearest whole number:
[tex]$$
\text{Predicted Students} \approx 2392.
$$[/tex]
Thus, the store should expect approximately 2392 high school students next week. The best answer among the provided choices is:
b. 2392
1. First, we sum the number of customers over the four weeks:
[tex]$$
\text{Total Customers} = 2848 + 3141 + 3861 + 3911 = 13761.
$$[/tex]
2. Next, we sum the number of high school students over those weeks:
[tex]$$
\text{Total Students} = 2033 + 1937 + 2076 + 1721 = 7767.
$$[/tex]
3. The ratio of high school students to total customers is then:
[tex]$$
\text{Ratio} = \frac{7767}{13761} \approx 0.56442.
$$[/tex]
4. Mary predicts that there will be 4238 customers next week. To find the estimated number of high school students, we multiply the ratio by the predicted number of customers:
[tex]$$
\text{Predicted Students} = 4238 \times 0.56442 \approx 2392.02.
$$[/tex]
5. Since we are dealing with people, we round to the nearest whole number:
[tex]$$
\text{Predicted Students} \approx 2392.
$$[/tex]
Thus, the store should expect approximately 2392 high school students next week. The best answer among the provided choices is:
b. 2392
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