In certain deep parts of oceans, the pressure of sea water,
P
,
in pounds per square foot, at a depth of
d
feet below the surface, is given by the following equation:
P=12+8d/9
If a scientific team uses special equipment to measures the pressure under water and finds it to be 164 pounds per square foot, at what depth is the team making their measurements?
P = 12 + 8d/9 = 104.
12 + 8d/9 = 104,
8d/9 = 92,
8d = 828,
d = 103.5 Ft.
1066
To find the depth, we can rearrange the equation and solve for "d".
Given equation: P = 12 + 8d/9
We are given that the pressure (P) is 164 pounds per square foot.
Substituting the given value of P into the equation, we get:
164 = 12 + 8d/9
Now, let's solve for "d".
First, subtract 12 from both sides of the equation:
164 - 12 = 8d/9
152 = 8d/9
Next, multiply both sides of the equation by 9/8 to get rid of the fraction:
(9/8) * 152 = (8d/9) * (9/8)
171 = d
Therefore, the team is making their measurements at a depth of 171 feet below the surface.
To find the depth at which the scientific team is making their measurements, we need to solve the equation P = 12 + (8d/9), where P = 164 pounds per square foot.
The equation is already in terms of depth (d), so we can substitute the value of P into the equation and solve for d.
Using the given equation:
164 = 12 + (8d/9)
First, let's isolate the term with d by subtracting 12 from both sides:
164 - 12 = 12 - 12 + (8d/9)
152 = 8d/9
To eliminate the fraction, we can multiply both sides of the equation by 9:
9 * 152 = 8d
Now, we can simplify the equation:
1368 = 8d
Finally, solve for d by dividing both sides by 8:
1368/8 = d
d = 171
Therefore, the team is making their measurements at a depth of 171 feet below the surface.