Learning Resources

Focus A: Mr. Lam's Travel Pattern

Test yourself (Answers)

1(a) Replace t in the function with 0 and 2.2, and then evaluate h(0) and h(2.2). The difference between them gives the change in height. The change in
time is 2.2 - 0. This gives an average rate of change as:

(b) Replace t in the function with 2.2 and 4.5, and then evaluate h(2.2) and h(4.5). The difference between them gives the change in height. The change in time is 4.5 - 2.2. This gives an average rate of change as:

(c) In the first time period the rate of change is positive since the ball is rising, and in the second time period it is negative since it is falling back to the ground. You will note that the rates of change are approximately equal since the time periods are the approximately the same. Remember this is a parabolic shape that is symmetric and the rates of change would be very close for the period rising from the ground and the period falling back to the
ground.

2(a) The will give the average annual increase from 1931 to 1951 in the the number of people aged 15 to 24.

(b) By checking each ten year period, the period from 1961 to 1971 had the greatest increase in population for the age group 15 to 24.

(c) No the general population would not be expected to grow as the same rate as this age group. One reason relates to the baby boom in the 50s and this age group would increase at a greater rate than all Canadians.