Question

Functions Unit Test

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Question
Use the image to answer the question.

A coordinate plane shows quadrant 4 with the x-axis, labeled as minutes, ranging from 0 to 6 in increments of 1 and y-axis, labeled as elevation in feet, ranging from 0 to negative 110 in decrements of 10. A ray with arrow at the bottom end points downward from the origin. The coordinates that it passes through are left parenthesis 0 comma 0 right parenthesis, left parenthesis 3 comma negative 60 right parenthesis, and left parenthesis 5 comma negative 100 right parenthesis.

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

[AI-generated answer — Bot GPT 3.5]

To find the rate of change in the diver's elevation, we need to calculate the slope of the line passing through the two points on the graph.

Let's use the points (0, 0) and (3, -60) on the graph.

First, we calculate the change in y (elevation) and the change in x (minutes) between the two points:
Change in y = -60 - 0 = -60
Change in x = 3 - 0 = 3

Next, we calculate the slope using the formula:
Slope = Change in y / Change in x
Slope = -60 / 3 = -20

Therefore, the rate of change in the diver's elevation is -20 feet per minute.