answer:To make a rational decision, the organization needs to consider the trade-offs between the costs and benefits of each venue. The A venue, located in the downtown area, offers high foot traffic, which could lead to more attendees and potentially higher revenue. However, it comes with a higher rental cost of 2,500. On the other hand, the B location, in the outskirt area, has lower foot traffic, but its rental cost is significantly lower at 500. To choose between the two venues, the organization needs additional information to evaluate the potential revenue and costs associated with each location. Some key factors to consider include: The expected number of attendees and revenue generated from ticket sales, donations, or other fundraising activities at each venue. If the organization can attract a large number of attendees at the A venue, the higher rental cost might be justified by the increased revenue. The cost of promoting the event at each venue. If the organization needs to spend more on advertising and marketing to attract attendees to the B location due to its lower foot traffic, this could offset the savings from the lower rental cost. The target audience and demographics. If the organization's target audience is concentrated in the downtown area, the A venue might be more suitable. However, if the target audience is more dispersed or located near the outskirt area, the B location could be more convenient. The overall budget for the event. If the organization has limited funds, the lower rental cost of the B location might be more feasible, even if it means lower revenue potential. The organization's goals and priorities. Are they focused on maximizing revenue, increasing visibility, or building relationships with a specific audience? Depending on their objectives, one venue might be more suitable than the other. By considering these factors and gathering more information, the organization can make a more informed decision that balances costs and benefits, ultimately choosing the venue that best aligns with their goals and resources.

answer:That's a clear and concise summary of the information given. Based solely on the provided data, we can conclude that: The B venue is significantly cheaper to rent than the A venue, with a cost difference of 2,000. The A venue appears to be in a more desirable location, as indicated by the much foot traffic in the downtown area, which could potentially lead to more attendees and revenue. However, without additional information, we cannot determine whether the benefits of the A venue's location outweigh the higher rental cost, or if the cost savings of the B venue outweigh its potential drawbacks. Further analysis and consideration of other factors are necessary to make a well-informed decision.

answer:By choosing the B venue solely due to its lower cost, the organization would indeed retain 2,000 more of the fundraiser revenue collected, as they would not have to allocate that amount towards venue rental costs. This could be a significant advantage, as the organization could use the saved funds for other purposes, such as supporting their cause, covering event expenses, or investing in future fundraising efforts. However, it's essential to consider whether the potential revenue generated at the B venue would be sufficient to meet the organization's fundraising goals. If the lower foot traffic at the B venue results in significantly lower attendance and revenue, the savings from the lower rental cost might be offset by the reduced revenue, potentially making the A venue a more attractive option despite its higher upfront cost.

answer:Let a be the number of 2 pairs of socks, b be the number of 4 pairs of socks, and c be the number of 5 pairs of socks Sarah bought. According to the problem statement: 1. **Total number of pairs**: a + b + c = 15 2. **Total cost of socks**: 2a + 4b + 5c = 45 Sarah bought at least one pair of each type, therefore a, b, c geq 1. Step 1: Simplify the system of equations Subtracting the first equation multiplied by 2 from the second gives: [ (2a + 4b + 5c) - 2(a + b + c) = 45 - 2 times 15 ] [ 2b + 3c = 15 ] Step 2: Solve for b and c Since b, c geq 1 and the equation now reads 2b + 3c = 15: [ b = frac{15 - 3c}{2} ] Since b must be a whole number and positive, c should be odd (1, 3, 5, etc.). Trying c = 1, [ b = frac{15 - 3 times 1}{2} = frac{12}{2} = 6 ] This satisfies our condition for b, now check c = 3, [ b = frac{15 - 9}{2} = 3 ] Thus, c = 5 leads to b being non-integer, thus not possible. Step 3: Solve for a We have two pairs: - If c = 1, b = 6, then a + 6 + 1 = 15 implies a = 8. - If c = 3, b = 3, then a + 3 + 3 = 15 implies a = 9. Conclusion Therefore, the possible values for a are 8 and 9: The answer is either 8 or 9. The final answer is boxed{C. 8 D. 9}