High School

Suppose there is a 1.4-degree Fahrenheit drop in temperature for every 1000 feet as an airplane climbs. If the temperature on the ground is 46.3 degrees Fahrenheit, what will be the temperature when the airplane reaches an altitude of 7000 feet?

A) 35.5 degrees Fahrenheit
B) 44.7 degrees Fahrenheit
C) 43.2 degrees Fahrenheit
D) 38.3 degrees Fahrenheit

Answer :

Final answer:

For a 1.4 degrees Fahrenheit decrease in temperature for every 1000 feet of altitude, if the temperature at ground level is 46.3 degrees Fahrenheit, the temperature at an altitude of 7000 feet is 36.5 degrees Fahrenheit.

Explanation:

To solve this problem, we need to realize that for every 1000 feet the plane ascends, the temperature decreases by 1.4 degrees Fahrenheit. If the plane ascends to an altitude of 7000 feet, it means it has gone up seven increments of 1000 feet. Therefore, we multiply 7 (for the seven increments of 1000 feet) and 1.4 (the amount of temperature decrease per 1000 foot increment) which equals to 9.8 degrees. So, the temperature has dropped by 9.8 degrees Fahrenheit. Now, we simply subtract this decrease from the starting ground temperature. Hence, 46.3 minus 9.8 equals 36.5 degrees Fahrenheit. To find the temperature at an altitude of 7000 feet, we need to calculate the change in temperature based on the given information. We know that there is a 1.4 degree Fahrenheit drop in temperature for every 1000 feet of altitude. So, for an altitude of 7000 feet, the temperature will drop by 1.4 degrees Fahrenheit per 1000 feet, which is: (7000 / 1000) * 1.4 = 9.8 degrees Fahrenheit

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