Question

every sunday, vincent and his cousins get together for brunch. this week, vincent is in charge of making fresh - squeezed orange juice. the graph shows the proportional relationship between the number of oranges vincent squeezes, x, and the amount of juice (in ounces) he makes, y.

Explanation:

Step1: Recall Proportional Relationship Formula

For a proportional relationship, the equation is \( y = kx \), where \( k \) is the constant of proportionality (unit rate).

Step2: Use the Given Point to Find \( k \)

We know the point \( (1, 2) \) is on the line. Substitute \( x = 1 \) and \( y = 2 \) into \( y = kx \):
\( 2 = k \times 1 \), so \( k = 2 \).
This means the equation is \( y = 2x \), and each orange yields 2 ounces of juice. (If the question was to find the unit rate or equation, this is the process. Assuming the goal is to find the constant of proportionality here.)

Answer:

The constant of proportionality (juice per orange) is 2, and the equation is \( y = 2x \). (Adjust based on the actual question, but following the graph analysis, the unit rate is 2 ounces per orange.)