For each table, determine whether it shows a direct variation, an inverse variation, or neither.
Write the equation for the direct or inverse variation when it exists.
(a)
\begin{tabular}{|c|c|}
\hline$x$ & $y$ \\
\hline 2 & 5 \\
\hline 6 & 15 \\
\hline 8 & 20 \\
\hline
\end{tabular}
(b)
\begin{tabular}{|c|c|}
\hline$x$ & $y$ \\
\hline 2 & 7 \\
\hline 4 & 3.5 \\
\hline 8 & 1.75 \\
\hline
\end{tabular}

Direct variation
Equation:
Equation:

Inverse variation
Equation:

Neither
Direct variation
Equation: $\square$
Equation: $\square$

Neither

Step 1 ：This table shows a direct variation. As x increases, y also increases. Moreover, the ratio of y to x is constant (\(\frac{5}{2} = \frac{15}{6} = \frac{20}{8} = 2.5\)). Therefore, the equation for the direct variation is \(y = 2.5x\).

Step 2 ：This table shows an inverse variation. As x increases, y decreases. Moreover, the product of x and y is constant (\(2*7 = 4*3.5 = 8*1.75 = 14\)). Therefore, the equation for the inverse variation is \(y = \frac{14}{x}\).

Step 3 ：The equation for the direct variation is \(\boxed{y = 2.5x}\).

Step 4 ：The equation for the inverse variation is \(\boxed{y = \frac{14}{x}}\).