Thank you for visiting A local café serves tea coffee cookies scones and muffins They recently gathered data about their customers who purchase both a drink and a snack. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
- Calculate the number of customers who have a scone with their tea: $0.24 \times 500 = 120$.
- Identify the row with 120 in the 'Scone' column as 'Tea'.
- The other row is 'Coffee'.
- Verify with the muffin data: $0.36 \times 500 = 180$, which matches the table total.
- The row headings are Coffee and Tea. $\boxed{{\text{Coffee, Tea}}}$
### Explanation
1. Understand the problem and provided data
We are given a frequency table showing the results of a survey about customers who purchase both a drink and a snack at a local café. The drinks are tea and coffee, and the snacks are cookies, scones, and muffins. We need to complete the row headings for the table, using the information that approximately $24\%$ of the customers surveyed have a scone with their tea and approximately $36\%$ of the customers surveyed buy a muffin.
2. Calculate the number of customers who have a scone with their tea
First, we calculate the number of customers who have a scone with their tea. We are told that this is approximately $24\%$ of the 500 customers surveyed. So, we calculate $0.24 \times 500 = 120$.
3. Identify the row representing tea
Looking at the table, we see that the 'Scone' column has a value of 120 in the second row. This means that the second row corresponds to tea.
4. Identify the row representing coffee
Since the second row represents tea, the first row must represent coffee.
5. Verify the answer using the muffin data
To check our answer, we use the information that approximately $36\%$ of the customers surveyed buy a muffin. We calculate $0.36 \times 500 = 180$. The total number of customers who buy a muffin is given in the table as 180, which matches our calculation. This confirms that our row headings are correct.
6. State the final answer
Therefore, the row headings are Coffee and Tea, respectively.
### Examples
Understanding customer preferences in a café can help optimize menu offerings and marketing strategies. For example, knowing that a certain percentage of tea drinkers prefer scones can guide promotional deals or inventory management to cater to this specific customer segment.
- Identify the row with 120 in the 'Scone' column as 'Tea'.
- The other row is 'Coffee'.
- Verify with the muffin data: $0.36 \times 500 = 180$, which matches the table total.
- The row headings are Coffee and Tea. $\boxed{{\text{Coffee, Tea}}}$
### Explanation
1. Understand the problem and provided data
We are given a frequency table showing the results of a survey about customers who purchase both a drink and a snack at a local café. The drinks are tea and coffee, and the snacks are cookies, scones, and muffins. We need to complete the row headings for the table, using the information that approximately $24\%$ of the customers surveyed have a scone with their tea and approximately $36\%$ of the customers surveyed buy a muffin.
2. Calculate the number of customers who have a scone with their tea
First, we calculate the number of customers who have a scone with their tea. We are told that this is approximately $24\%$ of the 500 customers surveyed. So, we calculate $0.24 \times 500 = 120$.
3. Identify the row representing tea
Looking at the table, we see that the 'Scone' column has a value of 120 in the second row. This means that the second row corresponds to tea.
4. Identify the row representing coffee
Since the second row represents tea, the first row must represent coffee.
5. Verify the answer using the muffin data
To check our answer, we use the information that approximately $36\%$ of the customers surveyed buy a muffin. We calculate $0.36 \times 500 = 180$. The total number of customers who buy a muffin is given in the table as 180, which matches our calculation. This confirms that our row headings are correct.
6. State the final answer
Therefore, the row headings are Coffee and Tea, respectively.
### Examples
Understanding customer preferences in a café can help optimize menu offerings and marketing strategies. For example, knowing that a certain percentage of tea drinkers prefer scones can guide promotional deals or inventory management to cater to this specific customer segment.
Thank you for reading the article A local café serves tea coffee cookies scones and muffins They recently gathered data about their customers who purchase both a drink and a snack. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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Rewritten by : Jeany
