To analyze the statements about the graph of the protein content in peanut butter, let's evaluate each statement based on typical characteristics of graphs and proportional relationships:
A. The line passes through the origin, therefore it models a proportional relationship.
- This statement is TRUE if the graph is indeed a straight line that passes through the origin (0,0). For a relationship to be proportional, it must pass through the origin, indicating that when there are zero tablespoons, there are zero grams of protein.
B. Point (6,30) means there are 30 grams of protein in 6 tablespoons of peanut butter.
- This statement is TRUE if the point (6,30) is plotted on the graph. This coordinate means that when there are 6 tablespoons of peanut butter, the protein content is 30 grams.
C. The unit rate for the amount of protein grams per tablespoon of peanut butter is 25 grams of protein per tablespoon of peanut butter.
- This statement is FALSE if the relationship is represented by the point (6,30). To find the unit rate, you would divide the total grams of protein by the number of tablespoons: 30 grams / 6 tablespoons = 5 grams per tablespoon, not 25 grams.
D. The graph does not represent a proportional relationship.
- This statement is FALSE if the line passes through the origin and maintains a constant ratio, which is the basis for proportional relationships. If it does show a direct linear relationship from the origin, then it represents a proportional relationship.
In summary, the true statements based on a typical analysis would be:
- A and B (assuming appropriate data on the graph) are TRUE.
- C and D are FALSE.