Question

For the direct variation equation y = 2 2/3 x, what is the constant of proportionality?(1 point)
Responses

2232 and 2 thirds

232 thirds

2
2

x

Answer 1

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:

1. Multiply the whole number (2) by the denominator (3): \( 2 \times 3 = 6 \)
2. Add the numerator (2): \( 6 + 2 = 8 \)
3. 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**