Question

A scuba diver is 30 feet below the surface of the water 10 seconds after he entered the water and 100 feet below the surface after 40 seconds. Find the scuba divers average rate of change and explain its meaning in the context of this scenario.

Answer 1

2⅓ feet per second.

Step-by-step explanation:

10 seconds after he entered the water, the depth of the diver = 30 feet

40 seconds after he entered the water, the depth of the diver = 100 feet

The scuba diver's average rate of change

`\begin{gathered} =\frac{\text{Change in Depth}}{\text{Change in time}} \\ =(100-30)/(40-10) \\ =(70)/(30) \\ =2(1)/(3)\text{ feet per second} \end{gathered}`

The scuba diver's average rate of change is 2⅓ feet per second.

In the context of this scenario, it means the scuba diver descends a depth of 2⅓ feet every second.