Question

How do you do this problem?

Answer 1

Explanation:

Remarks

They want only the exponential equation, here's the point.

• You need to be dividing by a number barely over one.
• You need to reflect the idea that every 500 ft. the % is going to go down by approximately 1.8%. The model for an exponential result is not as good as a linear one (this is really better done a s a linear result, but I will be obedient to what is asked for).
• You ought to try so values just to see if the equation works.

Equation

`\text{Amount the pressure becomes} = (101 kpa)/((1+( 1.8)/(100) )^(h)/(500) )`

What this gives you is the equation for a rise every 500 feet. To figure out the %

Use

`\text {\% =} \frac{\text{101 - answer from above equation}}{101}*100\%`

Example

Let h = 1000 feet

101 / (1 + 1.8/100) ^ (1000/500)

101 / (1.018)^2

101 / 1.036324

97.46

Now take this number and use the second formula

% = (101 - 97.46)/101 * 100%

% = 3.54%

The answer should be 3.6% (2 * 1.8%)

This is close enough. The question does say approximately.

1500 feet will give you 5.2% which is close to 5.4 (1.8 * 3). The higher you go, the more it is going to be out, but the results will always be close.