In the equation \( y = 2 \frac{2}{3} x \), the constant of proportionality is the coefficient of \( x \).
To convert \( 2 \frac{2}{3} \) into an improper fraction:
- Multiply the whole number (2) by the denominator (3): \( 2 \times 3 = 6 \)
- Add the numerator (2): \( 6 + 2 = 8 \)
- The denominator remains the same: \( 3 \)
Thus, \( 2 \frac{2}{3} = \frac{8}{3} \).
So, the constant of proportionality is \( \frac{8}{3} \).
If we summarize the right answer, the constant of proportionality is \( 2 \frac{2}{3} \) or, in improper fraction form, \( \frac{8}{3} \). However, since these options may not exactly match with what's given in the responses, it seems the closest option is:
232 thirds