Question

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

Answer 1

The constant of proportionality in a direct variation equation of the form \( y = kx \), where \( k \) is the constant of proportionality, indicates how \( y \) changes with \( x \).

In the equation \( y = 2 \frac{2}{3} x \), we can convert \( 2 \frac{2}{3} \) to an improper fraction:

\[
2 \frac{2}{3} = \frac{8}{3}
\]

Thus, the equation can be rewritten as:

\[
y = \frac{8}{3} x
\]

The constant of proportionality is \( \frac{8}{3} \).