The graph shows the elevation of a deep-sea diver in relation to minutes past using any two points on the graph. What is the rate of change in the divers elevation?
To determine the rate of change in the diver's elevation, we can choose any two points on the graph and calculate the slope (rate of change).
Let's choose the points (10, -100) and (30, 50) from the graph.
The first point (10, -100) represents 10 minutes past, with an elevation of -100.
The second point (30, 50) represents 30 minutes past, with an elevation of 50.
The slope (rate of change) can be calculated using the formula:
Slope = (change in y) / (change in x)
In this case, the change in y is 50 - (-100) = 150, and the change in x is 30 - 10 = 20.
Therefore, the slope (rate of change) of the diver's elevation is:
Slope = 150 / 20 = 7.5
The rate of change in the diver's elevation is 7.5 units per minute.