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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.

The table below represents a linear function. Identify the rate of change of the function.

Learn how to find the rate of change of a linear function using a table of values. This example covers key algebraic concepts, including calculating the slope from points in a table. Suitable for students in Grades 6-8.

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