Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the graph below shows the relationship between elevation and average an…

Question

the graph below shows the relationship between elevation and average annual temperature in nevada (° celsius). which of the following conclusions can be made from the data? a) an area with altitude of 0 meters has an average annual temperature of about 25° celsius. b) every 100 - meter increase in altitude is associated with a one - degree drop in temperature. c) every 1 - meter increase in altitude is associated with a 100 degree drop in temperature. d) every 100 - meter increase in altitude is associated with a 5 degree drop in temperature.

Explanation:

Step1: Analyze option A

The graph is not provided in full - scale to accurately determine the temperature at 0 - meter altitude. So we can't confirm this option.

Step2: Recall the general relationship between altitude and temperature

In the troposphere (the layer of the atmosphere where most of our weather occurs), the general rule is that temperature decreases with increasing altitude. The lapse - rate is approximately 6.5°C per 1000 meters or 0.65°C per 100 meters. But we need to check the options based on the given choices.

Step3: Analyze option B

A common and approximate relationship is that for every 100 - meter increase in altitude, there is about a 1 - degree drop in temperature. This is in line with the general atmospheric temperature - altitude relationship.

Step4: Analyze option C

A 100 - degree drop in temperature for every 1 - meter increase in altitude is extremely unrealistic.

Step5: Analyze option D

A 5 - degree drop in temperature for every 100 - meter increase in altitude is much steeper than the typical lapse - rate.

Answer:

B. Every 100 - meter increase in altitude is associated with a one - degree drop in temperature.