y varies directly with x. y is 30 when x is 6. what is y when x is 11? y = 5x y = ?

Explanation:

Step1: Identify the direct - variation formula

The direct - variation formula is $y = kx$, where $k$ is the constant of variation.

Step2: Find the constant of variation $k$

Given $y = 30$ when $x = 6$. Substitute into $y=kx$: $30=k\times6$. Solving for $k$, we get $k=\frac{30}{6}=5$.

Step3: Find $y$ when $x = 11$

We have the equation $y = 5x$. Substitute $x = 11$ into it: $y=5\times11 = 55$.

Answer:

55