The question asks to identify the rate of change of the linear function, given the table of values for $x$ and $y$.

The rate of change for a linear function is the slope, which is calculated as:

$\text{slope} = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}$

Let’s take two points from the table to compute the slope:

• From the first row: $(4, 8)$
• From the second row: $(6, 11)$

Using these points:

$\text{slope} = \frac{11 - 8}{6 - 4} = \frac{3}{2} = 1.5$

Thus, the rate of change of the function is 1.5.

Would you like further explanation, or do you have any other questions?

Here are 5 related questions you can explore:

1. How do you find the equation of a line given two points?
2. What does the rate of change represent in a real-world context?
3. How do you determine if a function is linear from a table of values?
4. How would the graph of this linear function look?
5. Can a linear function have a zero rate of change?

Tip: The slope of a linear function tells you how much the $y$-value changes for every one-unit change in the $x$-value.