Answers

Question 1 (5 points) Use Table 2.1 below to fill in the missing values. (there may be more than one answer.)

Table 2.1

x	0	10	20	30	40
p(x)	0	20	30	40	20

.

(a) p(40) = ? (b) p(?) = 40 (c) p(20) = ? (d) p(?) = 20

Answers: (a) 20 (b) 30 (c) 30 (d) 10 and 40

Question 2 (5 points) Table 2.2 shows the height if a tree (to the nearest foot) as a function of time (in years).
 What is the average rate of change of the height of the tree between:

(a) t = 1 and t = 3?

(b) t = 4 and t = 6?

(c) t = 10 and t = 12

(d) Sketch the function for the height of the tree with respect to time and explain what is happening to its height with respect to time.

Answers

(a) (b) (c)

(d) The tree grows slowly at first than rapidly, then stop growing.