Question

Water Pressure ApplicationIn certain deep parts of oceans, the pressure of sea water, P, in pounds per square foot,60at a depth of d feet below the surface, is given by the equation P = 13+11-If a scientific team uses special equipment to measures the pressure under water andfinds it to be 427 pounds per square foot, at what depth is the team making theirmeasurements?If the pressure is 427 pounds per square feet, the team is measuring atfeet below the surface.> Next Question0

Answer 1

Given that the model of taking the measurement is

`P=13+(6d)/(11)`

Step-by-step explanation

To get the depth at which the team is taking their measurement if the pressure is 427 pounds per square foot, we will insert the value of the pressure into the model.

`\begin{gathered} 427=13+(6d)/(11) \\ 427-13=(6d)/(11) \\ 414=(6d)/(11) \\ swap\text{ sides} \\ (6d)/(11)=414 \\ cross\text{ multiply } \\ 6d=414*11 \\ 6d=4554 \\ d=(4554)/(6) \\ d=759feet \end{gathered}`

Answer: 759 feet