Question

At the surface of the ocean the water pressure is the same as the air pressure above the water, 15 lb/in2. Below the surface the water pressure increases by 4.34 lb/in2 for every 10 ft of descent.

(a) Express the water pressure as a function of the depth below the ocean surface.

(b) At what depth is the pressure 100 lb/in^2?

Answer 1

Answer:  w = 15 + (×/10)* 4,34

Step-by-step explanation:

If we name:

w = water pressure  (lb/in²)   and     × =  depth below surface in ft

The equation w as a function of x is:

w = 15 + (×/10)* 4,34     (1)

As in problem statement   if × = 0 (sea level)

w =  15 + (0/10)*4.34      w = 15 + 0          w =  15 lb/in²  

if × = 10 feet below  w = 15 +  (10/10)* 4.34    ⇒    w = 15 + (1) *4.34                       w= 19.34 lb/in²

And the model express in (1)  satisfy both conditions