One country experienced linear growth from 1950 to 2000.
(a) Which country experienced linear growth in its population?
(b) For the country which experienced linear growth:
(i) write down a formula relating its population P to the time t years after 1950,
(ii) fi nd the population of this country in 2020.
(c) For the non-linear growth country, fi nd the average rate of change of its population from 1950 to 2000.
5. In a golf club a fi xed fee is paid for membership and then each round of golf is charged on top of the fi xed fee. Twenty rounds of golf cost € 850 and 32 rounds of golf cost € 1210.
(a) Find the membership fee and the cost per round.
(b) Write down a formula for the cost C in euro of playing golf in terms of the number n of rounds played.
(c) Find the cost for 50 rounds.
(d) How many rounds of golf can a member get for €1000?
6. The number N of cases of a fl u epidemic in a country t days after the discovery of its outbreak was given by N = 80 + 30t.
(a) Plot a graph of N against t for 0 ≤ t ≤ 4.
(b) Find the number of cases 2 weeks after the outbreak if no action was taken.
(c) If after 4 days a massive inoculation programme was initiated so that the number n of cases decreased at a steady rate of fi ve per day, fi nd a formula for n, in terms of t, for t > 4. How long, after the start of the inoculation programme, does it take for the epidemic to be eradicated?
