Question

As a scuba diver descends deeper into the ocean, the water pressure increases. If a 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.Oxygen will become toxic at approximately 104.5 psi, resulting in death. At what depth will this pressure bereached? (Round to the nearest foot.)Atfeet, oxygen will become toxic.

Answer 1

206 ft

1) In this scenario, we need to plug into that equation the figure that makes the Oxygen toxic and solve for x, since x stands for the depth.

2) So, we can write this:

`\begin{gathered} P=15+0.434x \\ \\ 104.5=15+0.434x \\ \\ 15+0.434x=104.5 \\ \\ -15+15+0.434x=104.5-15 \\ \\ 0.434x=89.5 \\ \\ (0.434x)/(0.434)=(89.5)/(0.434) \\ \\ x\approx206 \end{gathered}`

3) Thus. at approximately:

`206\:ft`