Question

For a submarine, the pressure increases at 4 times the rate of a diver. Which equation represents p, the water pressure in square inches for a submarine, as a function of d, the depth in feet?

A) p = 0.1075d
B) p = 0.43d
C) p = 1.72d
D) p = 17.20d

Answer 1

The equation that represents the water pressure in square inches for a submarine, as a function of depth, is p = 0.1075d (Answer choice A).

Step-by-step explanation:

The equation that represents the water pressure in square inches for a submarine, as a function of depth, is p = 0.1075d (Answer choice A).

To understand why, let's consider the given information that the pressure increases at 4 times the rate of a diver. This means that for every 1-foot increase in depth, the pressure for a submarine increases by 4 square inches. So, the equation would be p = 4d.

Since the depth is given in feet and the pressure is in square inches, we need to convert the rate of increase to 1-inch per 1-foot increase in depth. Dividing both sides of the equation by 4, we get p/4 = d. Multiplying both sides by 0.1075, we get p = 0.1075d. Therefore, the correct equation is A.