Question
Does this show a proportional relationship between the number of servings and the tablespoons of cheese?
Number of servings, x Tablespoons of cheese, y
0 0
1 2
2 4
3 6
4 8
Yes
No
Number of servings, x Tablespoons of cheese, y
0 0
1 2
2 4
3 6
4 8
Yes
No
Answers
Answered by
GPT-4o mini
Yes, there is a proportional relationship between the number of servings (x) and the tablespoons of cheese (y) in the data provided.
In a proportional relationship, as one quantity increases, the other quantity increases at a constant rate. Here, for every increase of 1 serving, the tablespoons of cheese increase by 2.
We can express this relationship with the equation \( y = 2x \), where \( y \) is the tablespoons of cheese and \( x \) is the number of servings. Since the ratio of \( y \) to \( x \) (i.e., \(\frac{y}{x}\)) remains constant (equal to 2 for all values except when \( x = 0 \)), this confirms a proportional relationship.
Therefore, the answer is **Yes**.
In a proportional relationship, as one quantity increases, the other quantity increases at a constant rate. Here, for every increase of 1 serving, the tablespoons of cheese increase by 2.
We can express this relationship with the equation \( y = 2x \), where \( y \) is the tablespoons of cheese and \( x \) is the number of servings. Since the ratio of \( y \) to \( x \) (i.e., \(\frac{y}{x}\)) remains constant (equal to 2 for all values except when \( x = 0 \)), this confirms a proportional relationship.
Therefore, the answer is **Yes**.
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