A dolphin jumped above the surface of the water. It reached an altitude of 3.5 meters above the surface of the water and then dove 10 meters below the surface of the water. It went from its highest point above the water to its lowest depth in 12.5 seconds. Interpret the quotient to describe the average rate of change in the dolphin's position. Give your answer to the nearest hundredth. (1 point)

Question

• The quotient that describes the rate of change in the dolphin's position is 1.08 meters/second.
• The quotient that describes the rate of change in the dolphin's position is -1.08 meters/second.
• The quotient that describes the rate of change in the dolphin's position is 0.52 meters/second.
• The quotient that describes the rate of change in the dolphin's position is -0.52 meters/second.

Answer 1

The average rate of change in the dolphin's position can be calculated by dividing the change in position by the time taken.

The change in position is the difference between the maximum altitude (3.5 meters) and the depth below the surface (-10 meters), which is 3.5 + (-10) = -6.5 meters.

The time taken is 12.5 seconds.

Therefore, the average rate of change in the dolphin's position is -6.5 meters / 12.5 seconds = -0.52 meters/second.

The quotient that describes the average rate of change in the dolphin's position is -0.52 meters/second.