Question

The graph models the linear relationship between the temperature of Earth's atmosphere and the altitude above sea level. Earth's Atmosphere Which of these best represents the rate of change of the temperature with respect to altitude? -6.5°C/km -3.5°C/km -0.29°C/km -0.15°C/km​

Answer 1

a

Explanation:

Answer 2

A. -6.5°C/km

Explanation:

It's easier to find slope if we can locate two points.

Looking at the graph, it looks like it passes through the points (4, -10) and (7,-30).

To find the slope, we divide the difference of the y-coordinates by the difference of the x-coordinates. Here, the difference in the y-coordinates is:

-10 - (-30) = -10 + 30 = 20

The difference in the x-coordinates is:

4 - 7 = -3

So, the slope is:

20/(-3) = -20/3 ≈ -6.67

This is the closest to the first answer choice, -6.5°C/km, so that is the answer.