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

To find the constant of proportionality \( k \) when \( y \) varies directly with \( x \), you can use the formula:

\[ y = kx \]

Given that \( y = 35 \) and \( x = 5 \), you can substitute these values into the equation to solve for \( k \):

\[ 35 = k \cdot 5 \]

Now, to solve for \( k \), divide both sides by 5:

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

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