Plot a graph of x and t X are 1.89, 2.45, 3.16, 4.07, 5.37, 6.61, 8.71 while t are 1.60, 2.50, 4.00, 6.40, 10.0, 15.9, 25.1

Here are the corresponding values of $t$ and $x$:

Draw a horizontal axis (x-axis) for the quantity $t$ and a vertical axis (y-axis) for the quantity $x$. Label the x-axis as "$t$" and the y-axis as "$x$". Choose appropriate scales for both axes to accommodate the range of your data (from 1.60 to 25.1 for $t$, and from 1.89 to 8.71 for $x$).

For each pair of $(t, x)$ values from the table, locate the corresponding point on your graph paper and mark it with a small cross or dot. For example, the first point would be at $(t=1.60, x=1.89)$, the second at $(t=2.50, x=2.45)$, and so on.

Once all points are plotted, draw a smooth curve that best fits through these points. Do not connect them with straight line segments.

The graph of $x$ versus $t$ for the equation $x = at^b$ will typically be a curve (specifically, a power curve), not a straight line. If you were to plot $\ln(x)$ against $\ln(t)$, as discussed in the previous problem, you would obtain a straight line.