Question
Quiz: Chapter 4Qu This Question: 1 I 120f 12 (3 complete) of the ocean changes with lalitude and with depth Suppose the sainity to dopths of 1000 meters at a certain la litude is appoximated by th e function 10x)- 172 13 1 nx The input x is the depth in meters, and lho output ftx) is in grams of kilogram of seswater Approxmate analycicaly the depth where the sainidy equals (a) 69 5 grams (b) 9 5 grams (c) 830 grams (a) For 69.5 grams of san, the depth is approxmately meters (Type an inleger or decmal rounded to the nearest hundredth as needed ) lb) For 79.5 grams of salt, the depth is approomately meters Type an integer or decimal rounded to the nearest hundredih as needed ) For 83 0 grams ol salt-the dep his approxima ely meters (Type an mioger or decimal rounded to the nearest hundredith as needed) Enter your answer in each of the answer boxes 0 Type here to search
Explanation / Answer
As per the forum rules, attempting the first question here:
f(x) = 17.2 +13.1 Inx
Now, sub the value of x, as given in the question to get your answers to the parts of the questions:
a. f(69.5) = 17.2 +13.1*In(69.5) = 72.76
b. f(79.5) = 17.2 +13.1*In(79.5) = 74.55
c. f(83) = 17.2 +13.1*In(83) = 75.09