Question

ind the value of the constant of proportionality (k)
for the given variation. Find the value of k if y varies directly with x and y=35
when x=5

Answer 1

In direct variation, the relationship between \( y \) and \( x \) can be expressed as:

\[
y = kx
\]

where \( k \) is the constant of proportionality.

To find the value of \( k \), you can rearrange the equation:

\[
k = \frac{y}{x}
\]

Given that \( y = 35 \) when \( x = 5 \), substituting these values into the equation gives:

\[
k = \frac{35}{5} = 7
\]

Therefore, the value of the constant of proportionality \( k \) is \( 7 \).