Analyzing Rate of Change: X-Values 8-11 with Corresponding Y-Values

To determine if the rate of change is uniform, follow these steps:

• Step 1: Calculate the rate of change between consecutive points.
• Step 2: Compare these rates to see if they are consistent.

Let's work through each step:

Step 1: Calculate the rate of change.

• For points $(8, 2)$ and $(9, 4)$:
$\text{Rate of change} = \frac{4 - 2}{9 - 8} = \frac{2}{1} = 2$
• For points $(9, 4)$ and $(10, 6)$:
$\text{Rate of change} = \frac{6 - 4}{10 - 9} = \frac{2}{1} = 2$
• For points $(10, 6)$ and $(11, 8)$:
$\text{Rate of change} = \frac{8 - 6}{11 - 10} = \frac{2}{1} = 2$

Step 2: Comparing the rates of change, we find they are all equal to 2, indicating uniformity.

Therefore, the rate of change is Uniform.