Question

The amount of water is directly proportional to the number of cups of rice the coordinate 1/2 1 is on the graph of the proportional relationship identify another point on the graph

Answer 1

If the amount of water is directly proportional to the number of cups of rice, we can express this relationship with the equation:

\[
w = k \cdot r
\]

where \( w \) is the amount of water, \( r \) is the number of cups of rice, and \( k \) is the constant of proportionality.

Given the point \( (1/2, 1) \), this means when \( \frac{1}{2} \) cups of rice are used, \( 1 \) unit of water is needed.

To find the constant of proportionality \( k \):

\[
1 = k \cdot \frac{1}{2}
\]
\[
k = 2
\]

Now, the equation of the proportional relationship becomes:

\[
w = 2r
\]

To identify another point on the graph, we can choose another value for \( r \) and calculate \( w \). Let's try \( r = 1 \) cup of rice:

\[
w = 2 \cdot 1 = 2
\]

So, when you have \( 1 \) cup of rice, you need \( 2 \) units of water. The new point on the graph is \( (1, 2) \).

You can choose other values for \( r \) (like \( 2 \), \( 3 \), etc.) to find more points on the graph. For example:

If \( r = 2 \):

\[
w = 2 \cdot 2 = 4
\]

This gives the point \( (2, 4) \).

In summary, another point on the graph is \( (1, 2) \), and \( (2, 4) \) is another option.