Question

The graph shows the elevation of a deep-sea diver in relation to minutes passed. Using any two points on the graph, what is the rate of change in the diver’s elevation?

Answer 1

To find the rate of change in the diver's elevation, we can use the slope formula:

Rate of change = (change in elevation) / (change in time)

Let's choose two points on the graph:
Point 1: (5 minutes, -30 meters)
Point 2: (15 minutes, -90 meters)

Change in elevation = -90 meters - (-30 meters) = -90 meters + 30 meters = -60 meters
Change in time = 15 minutes - 5 minutes = 10 minutes

Rate of change = (-60 meters) / (10 minutes) = -6 meters per minute

Therefore, the rate of change in the diver's elevation is -6 meters per minute.