Introduction:
The relationship between the price of a good and the quantity demanded is depicted by the demand curve. Generally, when the price of a good rises, its demand decreases, and when the price decreases, demand increases. However, in certain situations, the demand curve can be upward sloping, indicating that as the price rises, the quantity demanded also increases.

Factors Affecting Demand:
To determine whether the demand curve for eggs is upward sloping, it is essential to consider the factors that can influence the demand for eggs. These factors include:

1. Income: As individuals' income increases, their ability to purchase eggs also increases, leading to an increase in demand.
2. Taste and Preferences: If there is a shift in consumer preferences towards eggs as a healthy and nutritious food choice, the demand for eggs can increase.
3. Population: An increase in population can result in a higher demand for eggs as more people are consuming them.
4. Price of Substitute Goods: If the prices of substitute goods like meat or dairy products increase, consumers may shift towards eggs, leading to an increase in demand.
5. Price of Complementary Goods: If the prices of complementary goods like bread or vegetables decrease, there may be an increase in the demand for eggs as they are often consumed together.

Evaluating the Scenario:
In the given scenario, it is observed that the price of eggs is rising, and at the same time, the demand for eggs is also rising. This situation can be explained by the following reasons:

1. Income Effect: If the income of consumers has increased, they may be willing to pay a higher price for eggs, which can lead to an increase in demand despite the rising price.
2. Change in Preferences: If there has been a change in consumer preferences towards eggs, for example, due to increased awareness of their nutritional value, the demand can increase even with a higher price.
3. Population Growth: If the population has grown, there may be more individuals consuming eggs, resulting in an overall increase in demand.
4. Substitute and Complementary Goods: If the prices of substitute goods have increased or complementary goods have decreased in price, consumers may choose to buy more eggs, leading to a higher demand despite the rising price.

Conclusion:
Based on the factors mentioned above, it is possible for the demand curve for eggs to be upward sloping in the given scenario. However, it is important to note that this conclusion is specific to the circumstances described and may not hold true in all situations. To accurately determine the shape of the demand curve for eggs, a comprehensive analysis of various factors influencing demand is required.