To determine the equation of the line that represents the relationship between weight (x) and cost (y) for the ice cream custard, we start with the relationship given by the direct proportionality.
The equation can be written in the form:
\[ y = kx \]
where \( k \) is the constant of proportionality.
From the graph, we see that the line passes through the point \( (2, 10) \). This gives us the values of \( x \) (weight in ounces) and \( y \) (cost in dollars). We can use this point to calculate \( k \):
1. Substitute \( x = 2 \) and \( y = 10 \) into the equation:
\[ 10 = k \cdot 2 \]
2. Solve for \( k \):
\[ k = \frac{10}{2} = 5 \]
Thus, the constant of proportionality \( k \) is 5.
The complete equation describing the relationship between weight and cost is:
\[ y = 5x \]