Question

Given that y varies directly with x, and y=28 when x=7 What is y when x=52

Answer 1

Answer:

y=208

Explanation:

If y varies directly with x, the equation of variation is:

$y=kx$

When y=28 and x=7

$\begin{gathered} 28=7k \\ k=\frac{28}{7} \\ k=4 \end{gathered}$

The equation connecting y and x is:

$y=4x$

Therefore, when x=52

$\begin{gathered} y=4\times52 \\ y=208 \end{gathered}$