the function, p(d)=1+d/33, gives the pressure, in atmospheres (atm) at a depth in the sea (d is in feet). note that p(0)=1 atm, p(33)=2 and so on. find the pressure at 10 feet
evaluate 1 + 10/33
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To find the pressure at 10 feet, we need to evaluate the function P(d) = 1 + d/33 at d = 10.
Substitute the value of d into the function:
P(d) = 1 + d/33
P(10) = 1 + 10/33
To simplify the expression, we'll first find a common denominator:
P(10) = 1 + (10 * 3)/(33 * 3)
= 1 + 30/99
Next, we add the fractions:
P(10) = (1 * 99 + 30)/(99)
= (99 + 30)/99
= 129/99
To further simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 3 in this case:
P(10) = (129/3)/(99/3)
= 43/33
Therefore, the pressure at 10 feet is 43/33 atm.