To determine which values best complete the chart, we need to compare the given options with the pattern of the velocity of an object moving at a constant acceleration.
The data given in the chart represents the velocities of an object at different times. The times and velocities given in the chart are as follows:
[tex]\[
\begin{array}{|c|c|}
\hline
\text{Time (s)} & \text{Velocity (m/s)} \\
\hline
0 & 0 \\
\hline
1 & X \\
\hline
2 & Y \\
\hline
3 & Z \\
\hline
\end{array}
\][/tex]
From the given answer, we know we should find the values X, Y, and Z.
The correct values for X, Y, and Z that complete the chart are:
[tex]\[
X = 2 \\
Y = 4 \\
Z = 6
\][/tex]
Let's verify these values with the given choices:
- [tex]\(X = 0\)[/tex], [tex]\(Y = 0\)[/tex], [tex]\(Z = 1\)[/tex]
- [tex]\(X = 2\)[/tex], [tex]\(Y = 4\)[/tex], [tex]\(Z = 6\)[/tex]
- [tex]\(X = 3\)[/tex], [tex]\(Y = 3\)[/tex], [tex]\(Z = 3\)[/tex]
- [tex]\(X = 1\)[/tex], [tex]\(Y = 5\)[/tex], [tex]\(Z = 8\)[/tex]
Clearly, the values [tex]\(X = 2\)[/tex], [tex]\(Y = 4\)[/tex], and [tex]\(Z = 6\)[/tex] provide a consistent pattern of increasing velocity, matching the pattern of constant acceleration.
Thus, the chart is best completed with:
[tex]\[
X = 2, \quad Y = 4, \quad Z = 6.
\][/tex]
