Answer

The growth of the Bambusa vulgaris plant (also called common bamboo) can be modelled by the function H(t) = 6.9 log2(3t + 1), where H is the height in cm and t is time in weeks. (a) Which of the following statements are always true? (i) As t -> co, the value of H(t) approaches infinity. (ii) The height of the plant at t = 0 is 6.9. (iii) As t increases, the instantaneous rate of change of H(t) decreases. (b) Find the average rate of change of H between t = 1 and t = 5. (A) none of them (B) (iii) only (C) (i) only (D) all of them (E) (i) and (iii) only (F) (i) and (ii) only (G) (ii) only (H) (ii) and (iii) only