Michael sold 2 flowers in 4 hours, 3 flowers in 6 hours, 4 flowers in 8 hours, and 5 flowers in 10 hours. Which statement correctly describes this situation? The given situation does not represent a proportional relationship because the graph of the given data does not form a straight line through the origin. The given situation does not represent a proportional relationship because the graph of the given data does not form a straight line through the origin. The given situation represents a proportional relationship because the graph of the given data forms a straight line through the origin. The given situation represents a proportional relationship because the graph of the given data forms a straight line through the origin. The given situation does not represent a proportional relationship because the graph of the given data forms a straight line through the origin. The given situation does not represent a proportional relationship because the graph of the given data forms a straight line through the origin. The given situation represents a proportional relationship because the graph of the given data does not form a straight line through the origin.
The given situation does not represent a proportional relationship because the graph of the given data does not form a straight line through the origin.
The given situation does not represent a proportional relationship because the graph of the given data does not form a straight line through the origin.
The correct statement describing this situation is: "The given situation does not represent a proportional relationship because the graph of the given data does not form a straight line through the origin."
To determine if a relationship is proportional, we need to examine the ratio between the number of flowers sold and the time taken in each case.
Let's calculate the ratios for the given data:
For the first case, the ratio is 2 flowers / 4 hours = 0.5 flowers/hour.
For the second case, the ratio is 3 flowers / 6 hours = 0.5 flowers/hour.
For the third case, the ratio is 4 flowers / 8 hours = 0.5 flowers/hour.
For the fourth case, the ratio is 5 flowers / 10 hours = 0.5 flowers/hour.
In a proportional relationship, the ratio between the variables should remain constant. In this case, the ratio is consistently 0.5 flowers per hour. However, the statement mentions that the graph does not form a straight line through the origin. This means that the ratio is not constant for all values and the relationship is not proportional.
Therefore, the correct statement is that the given situation does not represent a proportional relationship because the graph of the given data does not form a straight line through the origin.