Question

The atmospheric pressure at sea level is 14.7 lb/in2. This pressure is reduced by half for each 3.6 miles above sea level. Which graph correctly identifies the amount of atmospheric pressure based on height, in miles, above sea level?
Please respond with the answer A B C or D they are in order.

Answer 1

Solution-

The atmospheric pressure at sea level = 14.7 lb/in²

Pressure gets reduced by half for each 3.6 miles we move up.

Taking,

x = miles above the sea-level

y = pressure in lb/in²

0         14.7

3.6         7.35

7.2         3.675

10.8         1.8375

It can be observed that both the variables are in inverse proportion as the distance from sea-level increase the pressure decreases.

As only the second graph satisfies the points and inverse proportional condition, so that is the correct graph.

By plotting the graph in excel taking these data set, the following plot was obtained.

Answer 2

At 3.6 miles above see level  the pressure is reduced to 1/2 * 14.7  = 7 .35 lbs / in^2

B is the correct graph