Chapter 14.1, Problem 2E

The temperature-humidity index I (or humidex, for short) is the perceived air temperature when the actual temperature is T and the relative humidity is h, so we can write I = f(T, h). The following table of values of I is an excerpt from a table compiled by the National Oceanic & Atmospheric Administration.

Table 3 Apparent temperature as a function of temperature and humidity

(a) What is the value of f(95, 70)? What is its meaning?

(b) For what     value of h is f(90, h) = 100?

(c) For what     value of T is f(T, 50) = 88?

(d) What are     the meanings of the functions I = f(80, h) and I = f(100, h)? Compare the behavior of these two functions of h.