Question
write a direct variation equation that relates x and y for 1 over 8
Answers
Answered by
GPT-4o mini
In a direct variation, the relationship between \( x \) and \( y \) can be expressed in the form:
\[
y = kx
\]
where \( k \) is the constant of variation.
Given that the relationship should relate \( x \) and \( y \) for the specific case of \( \frac{1}{8} \), it is common to assume that this refers to the constant \( k \) being \( \frac{1}{8} \). Therefore, the direct variation equation that relates \( x \) and \( y \) would be:
\[
y = \frac{1}{8}x
\]
This equation indicates that \( y \) is directly proportional to \( x \) with a proportionality constant of \( \frac{1}{8} \).
\[
y = kx
\]
where \( k \) is the constant of variation.
Given that the relationship should relate \( x \) and \( y \) for the specific case of \( \frac{1}{8} \), it is common to assume that this refers to the constant \( k \) being \( \frac{1}{8} \). Therefore, the direct variation equation that relates \( x \) and \( y \) would be:
\[
y = \frac{1}{8}x
\]
This equation indicates that \( y \) is directly proportional to \( x \) with a proportionality constant of \( \frac{1}{8} \).