PLEASE HELP ME 98 POINTS AND BRAINLIEST TO THE FIRST PERSON PLZZZZZ

The kilopascal is a unit of measure for atmospheric pressure. Suppose the atmospheric air pressure at sea level is about 96 kilopascals. For every​ 1000-m increase in​ altitude, the pressure decreases about 11.4​%. What is the approximate pressure at an altitude of 4000 ​m? The pressure at an altitude of 4000 m is about ___ kilopascals.

Respuesta :

Answer:

The pressure at 4000 m is about 59 kilopascals

Step-by-step explanation:

The equation is of the form

y= a b^x

where a is the initial value, b is 1 - percent decrease, and x is the number of 1000 m increases

a = 96 kilopascals

b = 1- 11.4%

   =1-.114

   = .886

y = 96 (.886)^x

We go up 4000 m  so x = 4000/1000 = 4

y = 96(.886) ^4

y = 59.156997121536

The pressure at 4000 m is about 59 kilopascals

Answer:

Step-by-step explanation:

Suppose the atmospheric air pressure at sea level is about 96 kilopascals.

For every​ 1000-m increase in​ altitude, the pressure decreases about 11.4​%.

The approximate pressure at an altitude of 1000 ​m = 96*(1-11.4%) = 96*0.886

The pressure at an altitude of 2000 m is = 96*0.886*0.886

The pressure at an altitude of 4000 m is = 96*0.886*0.886*0.886*0.886

= 59.157 kilopascal