Question

Can someone please help, I can't get this right

Answer 1

This is the answer , P = 1 + (1/10)x

Explanation:

We have,

At sea level pressure is 1 Atmosphere (i.e at x =0, P0=1 atmosphere)

At depth 23 meters , pressure = 3.3 Atmosphere

Since the pressure increases at constant rate as the depth increases, So we can write a relation as:

P =P0 + kx , where P is the pressure , P0 is the initial pressure, x is the depth and k is constant rate of increasing.

To find constant rate k, Plug P = 3.3 , P0 = 1 and x= 23 meters

We get,

3.3 = 1 + k * 23

k = 2.3 / 23 = 1/10

So we can write the function formula as: P = 1 + (1/10)x