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? (1 point)

Answer 1

To determine the rate of change in the diver's elevation using two points on the graph, you would typically use the formula:

\[
\text{Rate of Change} = \frac{\text{Change in Elevation}}{\text{Change in Time}} = \frac{y_2 - y_1}{x_2 - x_1}
\]

Where \( y_1 \) and \( y_2 \) are the elevations at times \( x_1 \) and \( x_2 \) respectively.

1. Identify two points on the graph. For instance, let’s say the points are (2 minutes, -20 meters) and (5 minutes, -50 meters).
2. Apply the formula:

- Change in Elevation: \(-50 - (-20) = -30\) meters
- Change in Time: \(5 - 2 = 3\) minutes

\[
\text{Rate of Change} = \frac{-30}{3} = -10 \text{ meters per minute}
\]

Thus, based on the points chosen, the rate of change in the diver's elevation would be \(-10\) meters per minute, indicating that the diver is descending.

Make sure to replace these points with the actual coordinates from the graph you have for your specific answer.