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)

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

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.