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Core Math Investigation

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Core Math Investigation 1) When x is more than 0 and increases (e.g. from 5 to 6), y increases at a much faster rate and becomes very big. When x increases when it is less then 0 (e.g. from -10 to -9), y increases very slowly. 2) (i) The value of a affects the value of x proportionally. For example we can compare the equations y = 1 + 2x and y = 5 + 2x. In the second equation, the value of a has been change to 5. As we can see from the results in Tables 1 and 2, all the values of y for y = 5 + 2x are greater by 4, when x is the same. (ii) As we have seen in (i), the effect of a does not affect the value of y, as it is a constant added to the solution of 2x . Hence, the value of a affects x proportionally, no matter what the value of x is. 3) (i) For b = -1, b causes the value of y decrease rapidly as x increases. ...read more.


It goes on to give possible reasons for and explain why this sudden decrease has occurred, e.g. increased use of contraception in both developed and developing countries as well as later marriages and thus later parenthood. The article also points out what possible consequences this trend might have, and what measures the Singapore government has taken to combat the problem. [Total: 75 words] Mathematical Content This article has provided readers with important numbers on the average fertility rate, the percentage of those single and the percentage of those who use contraception and practice family planning. These numbers clearly show that there is a strong correlation between lowered fertility rate, increased percentage of singles, increased number of late marriages and increased use of contraception. As the number of people practicing contraception and number of couples marrying later in life increase, the fertility rate naturally decreases. Strengths and Weaknesses I was quite impressed by the article and the graphs provided. The graphs are clear and well-labeled, two important characteristics of a good graph. The graphs also made good use of colour to compare the differences between 1970 and 2000. ...read more.


From the third and fourth graphs, we can see that Singapore's fertility rate has dropped significantly since 1970. We can also see that the age-specific fertility rate for all age groups has dropped, most notably in the 20-24 and 25-29 year age groups. Real-world application Through this article, I have gained more insight into why the population explosion anticipated years ago has not happened, and instead declining birth rates have come up. This decline in fertility and birth rates has been a result of increase in use of contraception, later marriages and government policy. For example, we can see that the Singapore government's two-child policy has resulted in an irreversible trend of lowering fertility rates. This indicates that the government was perhaps too successful in its goals, and maybe it should consider more closely the next time it decides to embark on a campaign. Why I chose this article I found this article very interesting, because it is relevant to Singapore today, as it experiences a low fertility rate. I was also attracted to it due to the wide range of graphs presented (4 in total, each of a different type). Philip Goh (8) 3.9 1 Feb 2005 ...read more.

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