Table 1.8 gives the required standard weight, , in kilograms, of American soldiers, aged between 21 and 27, for height, , in centimeters. (a) How

Table 1.8 gives the required standard weight, ω, in kilograms, of American soldiers, aged between 21 and 27, for height, ℎ, in centimeters.

(a) How do you know that the data in this table could represent a linear function? 

(b) Find weight, ω, as a linear function of height, ℎ. What is the slope of the line? What are the units for the slope? 

(c) Find height, ℎ, as a linear function of weight, ω. What is the slope of the line? What are the units for the slope?

Table 1.8

h (cm) w (kg) 172 176 180 184 188 192 196 79.7 82.4 85.1 87.8 90.5 93.2 95.9