The given table has $x$ and $y$ values. To determine if the function is linear or nonlinear, we calculate the rate of change (slope) between consecutive points.

The slope is calculated using the formula: $\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}$

Step 1: Calculate the slope between the first two points

The first two points are: [ (x_1, y_1) = \left(\frac{24}{5}, 9\right), \quad (x_2, y_2) = \left(\frac{30}{5}, \frac{2}{5}\right).

Let us simplify### Step 1: Analyze slope changes