Answered

The table represents the speed of a car in a northern direction over several seconds.

[tex]\[
\begin{array}{|c|c|}
\hline
Column 1 & Column 2 \\
\hline
0 & 5 \\
\hline
2 & 10 \\
\hline
4 & 15 \\
\hline
6 & 20 \\
\hline
8 & 25 \\
\hline
10 & 30 \\
\hline
\end{array}
\][/tex]

Column 1 is on the [tex]\( x \)[/tex]-axis, and Column 2 is on the [tex]\( y \)[/tex]-axis.

Which best lists the titles of each column?

A. Column 1 should be titled "Time," and Column 2 should be titled "Velocity."
B. Column 1 should be titled "Velocity," and Column 2 should be titled "Time."
C. Column 1 should be titled "Time," and Column 2 should be titled "Acceleration."
D. Column 1 should be titled "Acceleration," and Column 2 should be titled "Time."



Answer :

To determine the appropriate titles for each column, let's analyze the given data and what each column represents:

1. Column 1:
- This column contains the entries: 0, 2, 4, 6, 8, 10.
- These entries increase sequentially and are measured in seconds.
- This column represents the time elapsed. Hence, Column 1 should be titled "Time".

2. Column 2:
- This column contains the entries: 5, 10, 15, 20, 25, 30.
- These entries are increasing and denote the speed of the car in a northern direction.
- The speed is measured in units that you would associate with velocity (speed in a specific direction). Hence, Column 2 should be titled "Velocity".

Based on this analysis, the best titles for each column are:

- Column 1 should be titled "Time."
- Column 2 should be titled "Velocity."

Thus, the correct answer is:

Column 1 should be titled "Time," and Column 2 should be titled "Velocity."