Question

As a scuba diver dives deeper and deeper into the ocean, the pressure of the water on his bodysteadily increases. The pressure at the surface of the water is 14.7 pounds per square inch (psi). Thepressure increases at a rate of 0.445 psi for each foot you descend.A. Write an equation that represents the pressure P as a function of the depth d.

Answer 1

The form of the linear equation is

y = m x + b, where

m is the rate of change

b is the initial value

Since the presure at the surface is 14.7 pounds per square inch, then

b = 14.7

Since the rate of increase of the pressure is 0.445 pound per foot

m = 0.445

The equation is P(d) = 0.445 d + 14.7