To find the correct linear function that represents the relationship from a given table of points, we need to determine the slope ($m$) and the y-intercept ($b$) of the linear equation in the form $y = mx + b$.

Steps:

1. Find the slope $m$: The slope can be calculated using any two points $(x_1, y_1)$ and $(x_2, y_2)$ from the table using the formula:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

2. Determine the y-intercept $b$: After finding the slope, substitute one point $(x, y)$ into the equation $y = mx + b$ and solve for $b$.

If you have the points from the table, please share them, and I can proceed with the calculations.

Do you have any questions about this process or want further details?

Here are 5 related questions to consider:

1. How can you determine if a function is linear by looking at a table of values?
2. What is the significance of the slope in a linear function?
3. How do you interpret the y-intercept in the context of a word problem?
4. Can you determine the equation of a line if only given its graph?
5. How would you solve for $x$ given a specific $y$-value in a linear function?

Tip: Always check for consistent differences between y-values to confirm a linear relationship when given a table of points.