$\"\"$

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The atmospheric pressure is $\"\"$ and altitude is $\"\"$ .

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The rate of change of $\"\"$ with respect to $\"\"$ is proportional to $\"\"$ .

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$\"\"$

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Hence $\"\"$ , where $\"\"$ is a constant.

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At the sea level, the pressure is $\"\"$ kpa.

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Pressure at an altitude of $\"\"$ is $\"\"$ kpa.

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The general equation is $\"\"$ .

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Substitute $\"\"$ and $\"\"$ in the above equation.

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$\"\"$

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Substitute $\"\"$ in the $\"\"$ .

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Pressure at an altitude $\"\"$ is $\"\"$ .

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$\"\"$

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(a).

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Find the pressure at a altitude of $\"\"$ .

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Substitute $\"\"$ in the pressure function $\"\"$ .

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$\"\"$

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The pressure is $\"\"$ kpa at an altitude of $\"\"$ .

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$\"\"$

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(b).

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Find the pressure when altitude is $\"\"$ m.

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Substitute $\"\"$ in the equation $\"\"$ .

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$\"\"$

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The Pressure is $\"\"$ kpa when altitude is $\"\"$ m.

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$\"\"$

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(a) The pressure is $\"\"$ kpa at an altitude of $\"\"$ .

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(b) The Pressure is $\"\"$ kpa when altitude is $\"\"$ m.