The following table shows the number of hours worked in a week, f(t), hourly earnings, g(t), in dollars, and weekly earnings, ℎ(t), in dollars, of production workers as functions of t, the year.

(a) Indicate whether each of the following derivatives is positive, negative, or zero: f'(t), g'(t), ℎ'(t). Interpret each answer in terms of hours or earnings. 

(b) Estimate each of the following derivatives, and interpret your answers:
(i) f'(1970) and f'(1995)
(ii) g'(1970) and g'(1995)
(iii) ℎ'(1970) and ℎ'(1995)

Transcribed Image Text:

1970 f(t) 37.0 36.0 g(t) 3.40 4.73 h(t) 125.80 170.28 1975 1980 35.2 6.84 240.77 1985 1990 1995 34.9 34.3 34.3 8.73 10.09 11.64 304.68 349.29 399.53 2000 34.3 14.00 480.41