Question

An airplane cuts through the morning sky. For every 1,000 feet that it climbs, the outside temperature drops 20 degrees Fahrenheit. What is the rate of temperature change in degrees Fahrenheit per foot? Complete the steps below to answer the question.

part A: Write the change in elevation and the change in temperature as rational numbers.

part B: Write a numerical expression to represent the rate of temperature change in degrees Fahrenheit per foot.

part C: What is the rate of temperature change in degrees Fahrenheit per foot?

part D: Now, consider the reverse situation: as the airplane descends, or drops, 1,000 feet in the air, the temperature rises 20 degrees Fahrenheit. Write a numerical expression representing the rate of temperature change in degrees Fahrenheit per foot.

part E: What is the rate of temperature change in degrees Fahrenheit per foot?

part F: How is the rate you found in part E related to the rate you found in part C? What does this mean?

I've been stuck on this for so long and I think today is my last day to finish it and I haven't been able to concentrate or focus all day

Answer 1

Explanation:

part A=The airplane is rising, so the change in elevation is +1,000 feet. The temperature is dropping, so the change in temperature is -20 degrees Fahrenheit.

Part B= -20 degrees fehrenheit/1,000 feet

Part C= -20 degrees fehrenheit/1,000 feet= -1 degrees fehrenheit/50 feet

The answer can also be written as -1 degrees fehrenheit/50 per foot.

Part D = The airplane is descending, so the change in elevation is -1,000 feet. The temperature is rising, so the change in temperature is +20 degrees Fahrenheit.

The rate of temperature change in degrees Fahrenheit per foot is 20/-1000

Part E= The answer can also be written as-1/-50

Part F= The rate in part E is equal to the rate in part C. It means that -1/50=1/-50=-1/-50