To determine which statements apply to the ratio of rice and water, we first need to understand the relationship between the two variables presented in the table.
Let's analyze the table:
- When the amount of rice is 2 cups, 5 cups of water are needed.
- When the amount of rice is 3 cups, 7.5 cups of water are needed.
- When the amount of rice is 5 cups, 12.5 cups of water are needed.
- When the amount of rice is 8 cups, 20 cups of water are needed.
From the table, we can see that the amount of water required changes based on how much rice is being cooked. This indicates a dependent relationship. In other words, the required amount of water depends on the amount of rice you have.
Therefore:
1. The amount of water is the dependent value.
- This is true because the amount of water needed changes based on the amount of rice.
2. The amount of rice is the independent value.
- This is true because we start by deciding the amount of rice to cook, and the necessary amount of water then follows. The amount of rice determines the amount of water needed.
The remaining options are incorrect:
- The amount of rice is the dependent value.
- This is incorrect because the amount of rice does not change based on the amount of water.
- The amount of water is the independent value.
- This is incorrect because the amount of water depends on the amount of rice, not the other way around.
- The values cannot be labeled as dependent or independent without a given equation.
- This is incorrect; we can clearly see from the context that one variable determines the other, making it possible to identify dependent and independent variables without a specific equation.
Hence, the correct statements are:
- The amount of water is the dependent value.
- The amount of rice is the independent value.
