Find the value of the constant of proportionality (k)

Question

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

Since \( y \) varies directly with \( x \), we can express this relationship as:

\[ y = kx \]

where \( k \) is the constant of proportionality. To find \( k \), we can use the values provided: \( y = 35 \) when \( x = 5 \).

Substituting these values into the equation gives us:

\[ 35 = k \cdot 5 \]

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

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

Thus, the constant of proportionality \( k \) is:

\[ \boxed{7} \]