Final answer:
The graph represents the total amount of dog food that Sophia's dog Nipper eats over a certain number of days. The student needs to identify which statement is not correct based on the given options.
Step-by-step explanation:
The graph represents the total amount of dog food that Sophia's dog Nipper eats over a certain number of days. Let's analyze each statement:
- A: The data represents a proportional relationship. This statement is correct. Since the graph forms a straight line, it shows a constant ratio between the pounds of dog food and the number of days.
- B: The point (5,2) means that Nipper eats 5 pounds of dog food in 2 days. This statement is not correct. The point (5,2) on the graph means that Nipper eats 2 pounds of dog food in 5 days.
- C: The point (0,0) has no meaning in this situation. This statement is correct. The point (0,0) represents the starting point where Nipper hasn't eaten any food yet.
- D: The constant of proportionality is 0.4. This statement is not correct. The constant of proportionality can be found by dividing the change in the pounds of dog food by the change in the number of days between any two points. It is not equal to 0.4.
Based on the analysis, statement B is NOT correct.