Let’s analyze the image.

The question asks for the rate of change of the table chart, and the values provided in the table are:

Solution:

The rate of change is calculated as: $\text{Rate of Change} = \frac{\Delta Y}{\Delta X}$ where:

• $\Delta Y$ is the change in the $Y$-values.
• $\Delta X$ is the change in the $X$-values.

Step-by-Step Calculation:

1. From the table:

   • When $X$ changes from $2$ to $3$: $\Delta X = 3 - 2 = 1 \quad \text{and} \quad \Delta Y = 20 - 15 = 5$ Rate of change = $\frac{5}{1} = 5$.

   • When $X$ changes from $3$ to $4$: $\Delta X = 4 - 3 = 1 \quad \text{and} \quad \Delta Y = 25 - 20 = 5$ Rate of change = $\frac{5}{1} = 5$.

2. Since the rate of change is consistent for each interval, the rate of change of the table is: $\boxed{5}$

Final Answer:

The rate of change is 5.

Would you like a further breakdown of the explanation or have any additional questions?

Related Questions:

1. What does a constant rate of change mean in a real-world context?
2. How would the rate of change differ if the intervals in $X$ were not uniform?
3. Can a rate of change be negative? What does that signify?
4. How can you find the equation of a linear function using the rate of change and one point?
5. What is the graphical interpretation of the rate of change?

Tip:

Always check for consistency in both $\Delta X$ and $\Delta Y$ to confirm a constant rate of change!