Figure 2.14 shows the cost, y = f(x), of manufacturing x kilograms of a chemical.

(a) Is the average rate of change of the cost greater between x = 0 and x = 3, or between x = 3 and x = 5? Explain your answer graphically.

(b) Is the instantaneous rate of change of the cost of producing x kilograms greater at x = 1 or at x = 4? Explain your answer graphically.

(c) What are the units of these rates of change?

Transcribed Image Text:

y (thousand $) 4 3 2 1 1 2 3 Figure 2.14 4 5 x (kg)