The ground temperature at sea level is 60 degrees F. For every 100-foot increase in elevation, the temperature rises 1/10 of one

Question

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The ground temperature at sea level is 60 degrees F. For every 100-foot increase in elevation, the temperature rises 1/10 of one

degree. At an altitude of 2,000 feet, what will be the likely temperature? A. 58 degrees F B. 62 degrees F C. 72 degrees F D. 80 degrees F Show ALL work please!!

Mathematics

2 answers:

N76 [4] · Answer 1 · 2022-06-14T01:02:52+03:00

<h3>Answer: B. 62 degrees fahrenheit</h3>

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Explanation:

x = elevation in feet

y = temperature in fahrenheit

The temperature goes up 1/10 = 0.1 degrees for every 100-foot increase of elevation. So the slope is 0.1/100 = 0.001, which tells us how fast the temperature is increasing. In other words, the temperature goes up 0.001 degrees each time the elevation goes up by 1 foot.

The ground temperature is 60 degrees, which is our starting temperature. It's the value of y when x = 0. Therefore, 60 is the y intercept.

We have a slope of m = 0.001 and a y intercept of b = 60. The equation y = mx+b becomes y = 0.1x+60

Now plug in x = 2000 to find the temperature at this elevation

y = 0.001x+60

y = 0.001*2000+60

y = 2+60

y = 62