To determine the appropriate titles for the columns in the table, let's analyze the values in each column:
### Step-by-Step Analysis
1. Examine Column 1:
- The values in Column 1 are: [tex]\(0, 2, 4, 6, 8, 10\)[/tex].
- These values appear to be evenly spaced increments of time.
- Therefore, Column 1 is best described as "Time" in seconds.
2. Examine Column 2:
- The values in Column 2 are: [tex]\(5, 10, 15, 20, 25, 30\)[/tex].
- These values increase consistently and represent the speed of the car.
- Given that the question mentions speed, and speed is a scalar quantity often measured in miles per hour (mph), Column 2 is best described as "Velocity."
### Verification of Choices
- Choice 1: Column 1 should be titled "Time," and Column 2 should be titled "Velocity."
- This matches our analysis since the first column contains time intervals and the second column contains corresponding speeds.
- Choice 2: Column 1 should be titled "Velocity," and Column 2 should be titled "Time."
- This does not fit our observations. Reversing the labels would incorrectly represent the data.
- Choice 3: Column 1 should be titled "Time," and Column 2 should be titled "Acceleration."
- Acceleration refers to the change in velocity over time, which doesn't match the provided data for column 2, as it directly shows speed values, not acceleration.
- Choice 4: Column 1 should be titled "Acceleration," and Column 2 should be titled "Time."
- This is incorrect for similar reasons to Choice 3 and does not represent the data appropriately.
After carefully considering and verifying the choices in relation to the table data:
The best titles for each column are:
- Column 1 should be titled "Time."
- Column 2 should be titled "Velocity."
Therefore, the correct answer is:
Column 1 should be titled "Time," and Column 2 should be titled "Velocity."
