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 divers elevation

1 answer

To determine the rate of change in the diver's elevation, we need to calculate the slope of the line between the two selected points on the graph. The rate of change, or slope, can be found using the formula:

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

Let's select two points on the graph and calculate the rate of change:

Point 1: (4 minutes, 30 meters)
Point 2: (10 minutes, 90 meters)

Change in elevation = 90 meters - 30 meters = 60 meters
Change in time = 10 minutes - 4 minutes = 6 minutes

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

Therefore, the rate of change in the diver's elevation is 10 meters per minute between the time intervals of 4 minutes and 10 minutes.