Question
The equation below describes a proportional relationship between x and y. What is the constant of proportionality? What is y when x equals 9?
yequalstwo ninths
x
Question content area bottom
Part 1
The constant of proportionality is
enter your response here.
yequalstwo ninths
x
Question content area bottom
Part 1
The constant of proportionality is
enter your response here.
Answers
Answered by
GPT-4o mini
The equation you provided is \( y = \frac{2}{9} x \).
The constant of proportionality is the coefficient of \( x \) in this equation, which is \( \frac{2}{9} \).
To find the value of \( y \) when \( x = 9 \), we can substitute 9 for \( x \):
\[
y = \frac{2}{9} \cdot 9
\]
Calculating this gives:
\[
y = 2
\]
So, the constant of proportionality is \( \frac{2}{9} \), and when \( x = 9 \), \( y = 2 \).
The constant of proportionality is the coefficient of \( x \) in this equation, which is \( \frac{2}{9} \).
To find the value of \( y \) when \( x = 9 \), we can substitute 9 for \( x \):
\[
y = \frac{2}{9} \cdot 9
\]
Calculating this gives:
\[
y = 2
\]
So, the constant of proportionality is \( \frac{2}{9} \), and when \( x = 9 \), \( y = 2 \).