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When the air pressure at sea level is 14.7 psi and decreases by 0.46 psi for every 1,000 feet of altitude, what is the air pressure at 24,000 feet above sea level?

A. 4.5 psi
B. 4.2 psi
C. 3.9 psi
D. 3.7 psi

Answer :

The air pressure at 24,000 feet above sea level is calculated by subtracting the total pressure decrease from the sea level pressure. This results in 3.7 Psi, which corresponds to answer choice (d).Therefore the correct option is D.

To calculate the air pressure at 24,000 feet above sea level, we can use the given rate of pressure decrease with altitude. The air pressure decreases by 0.46 Psi for every 1,000 feet of altitude. Thus, for 24,000 feet, the decrease can be found by multiplying 0.46 Psi by 24, since 24,000 feet is 24 times 1,000 feet. We begin with the sea level pressure of 14.7 Psi and subtract the total decrease in pressure at 24,000 feet.

Decrease in pressure = 0.46 Psi/1,000 feet * 24,000 feet = 11.04 Psi

Therefore, the air pressure at 24,000 feet = 14.7 Psi - 11.04 Psi = 3.66 Psi. Rounding to the nearest tenth of a Psi gives 3.7 Psi, making our answer (d) 3.7 psi.

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