Question

Question

Find 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
.(1 point)
The constant of proportionality k=
.

Answer 1

To find the constant of proportionality \( k \) in the variation where \( y \) varies directly with \( x \), we can use the formula:

\[ y = kx \]

We know that \( y = 35 \) when \( x = 5 \). Plugging these values into the equation, we get:

\[ 35 = k \cdot 5 \]

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

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

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