Question
Y is directly related to X, and Y is 81 when X is 27.
The constant of variation is
.
The constant of variation is
.
Answers
GPT-4o mini
If \( Y \) is directly related to \( X \), we can express this relationship as:
\[
Y = kX
\]
where \( k \) is the constant of variation.
We are given that \( Y = 81 \) when \( X = 27 \). We can use this information to find \( k \):
\[
81 = k \cdot 27
\]
To solve for \( k \), divide both sides by 27:
\[
k = \frac{81}{27} = 3
\]
Thus, the constant of variation \( k \) is \( 3 \).
\[
Y = kX
\]
where \( k \) is the constant of variation.
We are given that \( Y = 81 \) when \( X = 27 \). We can use this information to find \( k \):
\[
81 = k \cdot 27
\]
To solve for \( k \), divide both sides by 27:
\[
k = \frac{81}{27} = 3
\]
Thus, the constant of variation \( k \) is \( 3 \).