a dolphin jumped above the surface, the water and reached an altitude of 3.5 m above the surface of the water and then dove 10 m below the surface of the water it meant from its high point above the water to the lowest depth in 12.5 seconds then right the quotient to describe the average rate of change in the dolphins Potion give your answer to the nearest hundred

Answer 1

To find the average rate of change in the dolphin's position, we need to calculate the change in position and then divide that by the time taken to make that change.

1. Initial Position (at the highest point): The dolphin jumps and reaches an altitude of 3.5 meters above the water. We can denote this as \( +3.5 \) m.

2. Final Position (at the lowest point): After diving 10 meters below the surface, the position becomes \( -10 \) m (since it's below the water surface).

3. Change in Position:

\[ \text{Change in Position} = \text{Final Position} - \text{Initial Position} = (-10) - (3.5) = -10 - 3.5 = -13.5 \text{ m} \]

4. Time Taken: The time taken for this change is 12.5 seconds.

5. Average Rate of Change: The average rate of change is calculated by dividing the change in position by the time.

\[ \text{Average Rate of Change} = \frac{\text{Change in Position}}{\text{Time}} = \frac{-13.5 \text{ m}}{12.5 \text{ s}} \approx -1.08 \text{ m/s} \]

6. Rounding: To the nearest hundredth, the average rate of change is:

\[ \boxed{-1.08 \text{ m/s}} \]