In certain parts of the ocean the pressure of sea water, in pounds per square foot, at a depth of "d" feet below the surface, is given by P=13+ 4d/9
If a scientific team uses special equipment to measure the pressure under water and finds it to be 401 pounds per square foot, at what depth in feet is the team making their measurements?
401=13 + 4d/9
solve for d
d=9/4 (401-13)
Thank you!!
To find the depth at which the team is making their measurements, we can use the given equation
P = 13 + (4d/9)
where P represents the pressure in pounds per square foot, and d represents the depth in feet below the surface.
We are given that the pressure is 401 pounds per square foot, so we can substitute this value into the equation:
401 = 13 + (4d/9)
To isolate the variable d, we can start by subtracting 13 from both sides of the equation:
401 - 13 = 13 + (4d/9) - 13
388 = 4d/9
Next, we can cross-multiply and solve for d:
4d = 9 * 388
4d = 3492
Finally, divide both sides of the equation by 4 to solve for d:
d = 3492 / 4
d ≈ 873
Therefore, the team is making their measurements at a depth of approximately 873 feet below the surface.