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

Answer:
y=208
Explanation:
If y varies directly with x, the equation of variation is:
[tex]y=kx[/tex]When y=28 and x=7
[tex]\begin{gathered} 28=7k \\ k=\frac{28}{7} \\ k=4 \end{gathered}[/tex]The equation connecting y and x is:
[tex]y=4x[/tex]Therefore, when x=52
[tex]\begin{gathered} y=4\times52 \\ y=208 \end{gathered}[/tex]