The function p(d)=1+d/33, gives the pressure, in atmospheres (atm), at a depth d in the sea (d is in feet). Note that p(0)=1 atm, p(32)=2 an so on. Find the pressure at 200 feet. Type an integer or simplified fraction.
p(d) = 1+d/33
So for p(200), substitute 200 for d on the right-hand-side to get 1+200/33.
Simplify the expression to get
1+200/33=1+6 2/33=7 2/33
If you are on the Pearson or similar system, you will need to type in the fraction as above, but it will show the fraction correctly before you press the "check answer" button.
To find the pressure at 200 feet, we can plug in the value of 200 for d in the function formula p(d) = 1 + d/33.
p(200) = 1 + 200/33
Now, let's simplify the expression:
p(200) = 1 + 6.06
p(200) ≈ 7.06
Therefore, the pressure at a depth of 200 feet is approximately 7.06 atmospheres (atm).