To find the rate of change for a function from a table of values, we use the formula for the slope between two points:

$\text{Rate of Change} = \frac{y_2 - y_1}{x_2 - x_1}$

Let's calculate the rate of change for both tables:

1. For Table 1:

Choose any two points. Let's use $(5, 2)$ and $(10, 3)$.

$\text{Rate of Change} = \frac{3 - 2}{10 - 5} = \frac{1}{5} = 0.2$

Thus, the rate of change for Table 1 is 0.2.

2. For Table 2:

Again, select two points. Let's use $(1, 15)$ and $(2, 9)$.

$\text{Rate of Change} = \frac{9 - 15}{2 - 1} = \frac{-6}{1} = -6$

The rate of change for Table 2 is -6.

Would you like more details or have any questions?

Related Questions:

1. How does the rate of change relate to the slope of a line?
2. Can we interpret the rate of change in the context of real-life scenarios?
3. What happens if the rate of change is negative or positive?
4. How do you find the rate of change if the x-values are not evenly spaced?
5. Can a function have a constant rate of change for some points but not for others?

Tip: When picking points from a table, try to choose simple values for easier calculations!