Choose the one alternative that best completes the statement or answers the question.
-Suppose $f ( x ) = 34.2 + 1.2 \log ( x + 1 )$ models salinity of ocean water to depths of 1000 meters at a certain latitude. $x$ is the depth in meters and $f ( x )$ is in grams of salt per kilogram of seawater. Approximate the salinity (to the nearest hundredth) when the depth is 752 meters.
A) $97.19 \mathrm {~g} / \mathrm { kg }$
B) $99.59 \mathrm {~g} / \mathrm { kg }$
C) $- 30.75 \mathrm {~g} / \mathrm { kg }$
D) $37.65 \mathrm {~g} / \mathrm { kg }$

Question

Quizplus · Accepted Answer

To find the salinity at 752 meters, substitute $x = 752$ into the given model: $f(752) = 34.2 + 1.2 \log(752 + 1)$. Calculate the logarithm and the rest of the expression to get the salinity, which rounds to $37.65 \mathrm {~g} / \mathrm { kg }$.

Choose the One Alternative That Best Completes the Statement or Answers