In a direct variation equation of the form \( y = kx \), the constant of proportionality is \( k \). In the given 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:
\[ y = \frac{8}{3}x \]
This means the constant of proportionality \( k \) is \( \frac{8}{3} \).
Hence, the correct answer among the options provided would be \( 2 \frac{2}{3} \), which is equal to \( \frac{8}{3} \).
If the answer choices include the value \( \frac{8}{3} \) instead or if we need to interpret \( 2 \frac{2}{3} \) directly, please clarify, but typically, we express constants as improper fractions.
The response you would select that closely describes the constant of proportionality is:
2 Start Fraction 2 over 3 End Fraction
3 answers