If the temperature on the ground is 63F, then the air temperature x miles high is given by T=63−29x. Determine the altitudes at which the air temperature is less than 4.4F.

Herein we find that the temperature, in grades Fahrenheit, decreases linearly inasmuch as the altitude, in miles, increases. In accordance with the statement, we solve for T in the following inequality:

63 - 29 · x < 4.4

63 - 4.4 < 29 · x

58.6 < 29 · x

29 · x > 58.6

x > 2.021 mi

The temperature is less that 4.4 °F for altitudes greater than 2.021 miles high.

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If the temperature on the ground is 63F​, then the air temperature x miles high is given by T=63−29x. Determine the altitudes at which the air temperature is less than 4.4F.

Answer :

In which altitudes do we get a certain range of temperatures?

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If the temperature on the ground is 63F, then the air temperature x miles high is given by T=63−29x. Determine the altitudes at which the air temperature is less than 4.4F.