Please help me! Last question. Needs to be done today!

The kilo-pascal is a unit of measure for atmospheric pressure. Suppose the atmospheric air pressure at sea level is about 96 kilopascals. For every 1,000-meter increase in altitude, the pressure decreases about 11.6 percent. What is the approximate pressure at an altitude of 2,000 meters? Round your answer to the nearest whole number.

I just need someone to explain how it is about 75 kilo-pascal..

an 11.6% decrease means that for every 1000m increase in altitude, the pressure diminishes by a factor of 0.884

96*0.886^2 = 75.36kPa

To calculate the approximate pressure at an altitude of 2,000 meters, we can use the given information that for every 1,000-meter increase in altitude, the pressure decreases about 11.6 percent.

First, let's calculate the decrease in pressure for the given change in altitude:
Pressure decrease = 96 kilopascals * 11.6% = (96 * 0.116) kilopascals

Now, we can determine the pressure at 2,000 meters by subtracting the decrease in pressure from the initial pressure at sea level:
Pressure at 2,000 meters = 96 kilopascals - (96 * 0.116) kilopascals

To simplify this calculation, we can express the decrease in pressure as a decimal:
Pressure at 2,000 meters = 96 kilopascals - 11.136 kilopascals

Finally, we can round the result to the nearest whole number:
Pressure at 2,000 meters ≈ 84.864 kilopascals ≈ 85 kilopascals

Therefore, the approximate pressure at an altitude of 2,000 meters is about 85 kilopascals, not 75 kilopascals.