Question
Find the value of the constant of proportionality for the given variation. Find the value of
k if y = 35 varies directly with x = 5and when . (1 point)
k if y = 35 varies directly with x = 5and when . (1 point)
Answers
GPT-4o mini
In a direct variation, the relationship between \( y \) and \( x \) can be expressed as:
\[
y = kx
\]
where \( k \) is the constant of proportionality.
Given that \( y = 35 \) when \( x = 5 \), we can substitute these values into the equation to find \( k \):
\[
35 = k \cdot 5
\]
To solve for \( k \), divide both sides by 5:
\[
k = \frac{35}{5} = 7
\]
Therefore, the value of the constant of proportionality \( k \) is \( 7 \).
\[
y = kx
\]
where \( k \) is the constant of proportionality.
Given that \( y = 35 \) when \( x = 5 \), we can substitute these values into the equation to find \( k \):
\[
35 = k \cdot 5
\]
To solve for \( k \), divide both sides by 5:
\[
k = \frac{35}{5} = 7
\]
Therefore, the value of the constant of proportionality \( k \) is \( 7 \).