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The table represents the speed of a car in a northern direction over several seconds.
\begin{tabular}{|l|l|}
\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{tabular}

Column 1 would be on the [tex]$x$[/tex]-axis, and Column 2 would be 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 :

GinnyAnswer
To determine the appropriate titles for the columns based on the given data, let's analyze the progression:

1. For Column 1:
- The values are: 0, 2, 4, 6, 8, 10.
- This sequence increases linearly by 2 units each time.
- Such a sequence is typical for measurements that progress uniformly over a constant period, often representing time intervals.

2. For Column 2:
- The values are: 5, 10, 15, 20, 25, 30.
- This sequence also increases linearly, by 5 units each time.
- Since speed or velocity generally changes uniformly over time in many physical scenarios, it is typical for such sequences to represent velocity or speed measurements.

Given this analysis, it is reasonable to match Column 1 with "Time" and Column 2 with "Velocity."

Thus, the most appropriate titles are:
- Column 1 as "Time"
- Column 2 as "Velocity"

Therefore, the best answer to the question is:

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

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