To illustrate the relationship between the amount of water and the number of cups of rice being cooked, we can express this as a direct proportionality.
If we say that the amount of water \( W \) (in cups) is directly proportional to the number of cups of rice \( R \), we can write this relationship as:
\[ W = kR \]
Where:
- \( W \) is the amount of water in cups,
- \( R \) is the number of cups of rice,
- \( k \) is a constant that represents the number of cups of water needed per cup of rice.
For example, if the cooking instruction states that you need 2 cups of water for every cup of rice, the constant \( k \) would be 2. Thus, the relationship would be:
\[ W = 2R \]
Here are some examples:
- If you have 1 cup of rice, you need \( W = 2(1) = 2 \) cups of water.
- If you have 2 cups of rice, you need \( W = 2(2) = 4 \) cups of water.
- If you have 3 cups of rice, you need \( W = 2(3) = 6 \) cups of water.
This relationship can be visualized as a straight line through the origin in a coordinate system where the x-axis represents cups of rice and the y-axis represents cups of water. The slope of the line will be equal to the constant \( k \).
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