1. The problem asks for the average rate of change in bounce height as the drop height changes from 20 inches to 60 inches. 2. The average rate of change formula is: $$\text{Average Rate of Change} = \frac{\text{Change in Bounce Height}}{\text{Change in Drop Height}} = \frac{y_2 - y_1}{x_2 - x_1}$$ 3. From the table, when drop height $x_1 = 20$, bounce height $y_1 = 15$; and when drop height $x_2 = 60$, bounce height $y_2 = 51$. 4. Calculate the change in bounce height: $$51 - 15 = 36$$ 5. Calculate the change in drop height: $$60 - 20 = 40$$ 6. Substitute into the formula: $$\frac{36}{40}$$ 7. Simplify the fraction by canceling common factors: $$\frac{\cancel{36}}{\cancel{40}} = \frac{9}{10} = 0.9$$ 8. Therefore, the average rate of change is $0.9$. 9. The correct answer is A 0.90.