Question

Q1

According to United Nations, human population reached 7 billion on October 31, 2011. Using this benchmark and an estimated increase of 3 new persons added to the human population every second (i.e., births – deaths = net increase of 3 p/s), calculate the following: a. On what date (day, month, year) in the future will we reach 8 billion? b. What the population was on the day you were born? c. How long it took for our population to go from 6 biilion (reached on October 12, 1999) to 7 billion (reached on October 31, 2011)? How many people per second is this? How does this compare with the estimate of 3 p/s used to calculate 1a and 1b?

Q2

Using the information in Table 44.13 (p. 802) in our textbook and your calculations in problem 1 above, draw a bar graph or make a table of human population growth, approximating the number of years it took to increase our population by another billion people, from 1 to 8 billion. You might also Google world population to compare or complete your billion person increase increments.

Q3

If someone offered you $10,000 to work for a month (30 days) or the option of being paid 2 cents the first day with your pay doubling each day for a month, which would you choose? Make your choice then figure out how much you would make on Day 30 if you took the second (doubling) option. Show your work.

Q4

Consider a pond with pond lilies that double everyday and it takes 30 days for the pond lilies to completely cover the pond. a. On what day will the pond be 1/4 covered? b. On what day will the pond be 1/2 covered? c. Does the size of the pond make a difference? d. What will begin to happen at one minute past the 30th day? e. If this pond were earth, and the lilies were people, what kind of environmental, social, and economic developments can be expected as the 30th day approaches? f. At what point (what day) would preventative action become necessary to prevent unpleasant events? g. If this pond were your city, state or country, and the lilies were people, considering all other life, at what day would you and your family like to live and have the highest quality of life? h. Based on your understanding, what corresponding day do you think we are at in the world today? The United States?

Answer 1

ans1. (a) as we know there are 60 sec in 1 min and 60 min in 1 hour, according to this there are 86400 sec in one day and according to the question there are 259200 new person added in one day.

1 year = 365 days

1 year = 94608000 new person added

new population is 8 billion which is 8000000000, now if we divide this value by 94608000 we get approx. 8.5 years. so according to this 8 billion becomes in march 2019.

ans 3. in this i would select 2 cent per day because if we double the amount each day for 30 days, amount will be greater than $10000. if we double the 2 cent each day for 30 days we get aorund 10737418.24 dollar on 30th day which is much greater than 10,000 dollar.

100 cent = 1 dollar

1 cent = 1/100 dollar

1st = 2 cent

2nd = 4 cent

3rd = 8 cent

4th = 16 cent....

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30th = 1073741824

1073741824 cents = 10737418.24 dollar > 10000 dollar

ans4 as lilies are double evryday .

(a) 1/4 pond is covered on 28th day

(b) 1/2 pond is covered on 29th day

(c) no size of pond does not make any difference because it is ability of pond lilies that it is doubled everyday.

(d) as one minute is passed from 30th day lilies start grown outside the pond or they killed other lilies for their one's survival.

(e) if this pond would be our world and lilies are people then as 30th day approaches everything which is required by the people will decreasing and existing population would start die because everything whether it is environment or social or economic against this growth.

(f) i think when the population cover around half of the world, some preventive action become necessary would be taken to prevent accidents or some other issue that would be happen if the population rises.

(g) if this is happened then according to me at 28th day is the best for our family to live happily and achieve highest quality of life because at that time we have so many things to be used by us without any sharing or in threat of losing something.

(h) according to my knowledge we are the great risk now because population rises at very rapid time and i think we are at starting of 30th day.