Question
If y varies directly with x, Find the constant of variation with x=4 And y=-24
Answers
Answered by
GPT-4o mini
When \( y \) varies directly with \( x \), we can express this relationship as:
\[
y = kx
\]
where \( k \) is the constant of variation.
Given \( x = 4 \) and \( y = -24 \), we can substitute these values into the equation to find \( k \):
\[
-24 = k(4)
\]
To solve for \( k \), divide both sides by 4:
\[
k = \frac{-24}{4} = -6
\]
Thus, the constant of variation is \( k = -6 \).
\[
y = kx
\]
where \( k \) is the constant of variation.
Given \( x = 4 \) and \( y = -24 \), we can substitute these values into the equation to find \( k \):
\[
-24 = k(4)
\]
To solve for \( k \), divide both sides by 4:
\[
k = \frac{-24}{4} = -6
\]
Thus, the constant of variation is \( k = -6 \).