Question

As a scuba diver descends deeper into the ocean, the water pressure increases. If x represents the depth (in feet) of the diver, then the relationship P = 15 + 0.434x gives the water pressure P in psi (pounds per square inch). Use this formula to answer the question. The maximum scuba recreational diving pressure is 59.0 psi. What diving depth is this? (Round to the nearest foot.)

Answer 1

Step-by-step explanation:

To find the diving depth that corresponds to a water pressure of 59.0 psi, we can use the given relationship between depth (x) and water pressure (P): P = 15 + 0.434x.

We are given that the maximum scuba recreational diving pressure is 59.0 psi. Plugging this value into the equation, we can solve for the depth (x).

59.0 = 15 + 0.434x

Subtracting 15 from both sides of the equation, we have:

44.0 = 0.434x

To isolate x, we divide both sides of the equation by 0.434:

x = 44.0 / 0.434

Using a calculator, we find that x is approximately 101.38 feet.

Therefore, the diving depth that corresponds to a water pressure of 59.0 psi is approximately 101 feet (rounded to the nearest foot).