Question

one layer of earth's atmosphere is called the stratosphere. At one point above earth's surface the stratosphere extends from an altitude of 16 km to an altitude of 50 km. Write a compound inequality to show the altitudes that are within the range of the stratosphere. (please show work! i really need to know how to figure out these word problems. thanks!)

Answer 1

The Stratosphere layer is the layer next to the troposphere and it extends from an elevation of about 10-15 km to 50-60 km above the surface of earth. In this layer, the temperature increases with the increasing height. This increase in temperature is because of the presence of the ozone. This ozone is also called good ozone as it protects the lives on earth from the harmful ultraviolet radiations emitted from the sun.

In order to show the elevation range of the stratosphere layer, in the form of compound inequalities, we take two equations from the given data-

=> X ≥ 16 -------- (equation 1), where X= thickness of the stratosphere layer.

=> X ≤ 50 -------- (equation 2)

Now, from equation 1 and equation 2, we have,

=> 16 ≤ X ≤ 50

So, in conclusion, we can say that the thickness of stratosphere ranges from 16 to 50 km.

Answer 2

According to all the given requirements

stratosphere x starts at an altitude of 16 km

that means

16≤x

and,as given ,stratosphere ends at an altitude of 30 km:
which means
x≤30 combining both of them we get

16≤x≤30 So the range of the stratosphere is from 16 to 30 km.