Final answer:
Aarya should order approximately 340 vegan and vegetarian meals for an event of 800 attendees, based on the proportion of dietary preferences in the sampled group.
Step-by-step explanation:
To estimate the total number of vegan and vegetarian meals Aarya should order for a work event of 800 people, we can use the sample data Aarya collected. In the sample, 8 people preferred vegan meals and 9 people preferred vegetarian meals, which is a total of 17 people with these preferences out of 40 people surveyed (since 8 + 9 + 13 + 10 = 40). To find out how many total vegan and vegetarian meals to order for 800 people, we perform the following calculations:
- Calculate the proportion of vegan and vegetarian preferences in the sample: 17 out of 40.
- Apply this proportion to the total number of attendees: 800 people × (17/40).
- Multiply and round to the nearest whole number, because you can't order a fraction of a meal.
Applying these steps to calculate the number:
800 × (17/40) = 800 × 0.425 = 340
Therefore, Aarya should order approximately 340 vegan and vegetarian meals for the event of 800 attendees to accommodate those dietary preferences.