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(33)=2, and so on. Find the pressure at 100 feet.
The pressure at 100 feet is ___? atm.
(Type an integer or a simplified fraction)
just plug in d=100
p(100) = 1+100/33 = 133/3
To find the pressure at 100 feet, we can substitute the value of d into the given function p(d) = 1 + d/33.
p(100) = 1 + 100/33
Now we can simplify this expression:
p(100) = 1 + 100/33 = 1 + 3.0303...
To express this as a fraction, we multiply both the numerator and denominator of the decimal by 10000 to remove the decimal point:
p(100) = 1 + 303.03... / 100 = 1 + 30303/10000
Now we can add the fractions:
p(100) = (10000 + 30303) / 10000
Simplifying the fraction:
p(100) = 40303 / 10000
Thus, the pressure at 100 feet is 40303/10000 atm.