Question

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

Answer 1

y=208

Step-by-step 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=(28)/(7) \\ k=4 \end{gathered}`

The equation connecting y and x is:

`y=4x`

Therefore, when x=52

`\begin{gathered} y=4*52 \\ y=208 \end{gathered}`