~ Is anyone here super good at math, I have a question?

Question

Can you calculate how many births a woman must give on average for 6,000,000,000 people to exist in a time slot of 6000 years? And the human race only starts with one man and one woman.

Oh yeah there's more variables: if the offspring is a women she can also give birth, women have normal lifespan, and they can only have children when they're of age.

40 years is the amount alotted for giving birth.

OKAY, I just want to know if Creationism is mathematically possible. The rules are, you start out with Adam and Eve, 6000 years later you have 6 billion people.

Answer 1

Let's say for the sake of argument that a generation is 30 years. Over 6000 years, that's 200 generations. Let's also say that, over 6000 years, it's equally likely for a boy to be born as a girl.

At any given time, divide the population by two (to find the number of couples). They'll have "x" children, on the average, for their generation. For generation 0, there are x kids for generation 1. The x kids, then, are divided by two, and that (x / 2) number of couples will have (x² / 2) kids for generation 2. Generation 3 would have (x³ / 2²) kids. In general, for generation "t," there will be (x^t / 2^(t - 1)) kids.

For generation 200, this means there are (x^200 / 2^199) people, which is defined in the problem to be 6 billion.

x^200 / 2^199 = 6 × 10^9
x^200 = (6 × 10^9) × (2^199)
ln [x^200] = ln [(6 × 10^9) × (2^199)]
200 ln [x] = ln [6] + 9 ln [10] + 199 ln [2]
ln [x] = {ln [6] + 9 ln [10] + 199 ln [2]} / 200
ln [x] = {1.79175947 + 20.723265837 + 137.93628893} / 200
ln [x] = 160.4513142376 / 200
ln [x] = 0.802256571188
x = e^0.802256571188
x = 2.23056869

About 2¼ kids (that survive to adulthood) per couple over 200 generations would do it.

Answer 2

OK with with 40 years as the worst case scenario, then you'd have 150 generations between the alleged creation.

Assume x is the generation rate, then

x^150 = 6 billion

then, x = 1.16. This says that every forty years the population must incresae by 16 percent. If every couple had 3 kids that lived to age 40, that would more than take care of it I think, since that would be more like an extra 50% per generation.

You'd need to do a much more precise model to get birth and death rates in there, but I think it is safe to say it is possible to increase to 6B from just 2 in 6000 years.

Answer 3

Well take an hypothesis that the woman have their babies at 30 years in the average so : 6000 years/30 =200
the number you are looking for is n with
n^200 = 6 000 000 000
so 200 log n =log 6 000 000 000
n = exp (log 6 000 000 000)/200 = 1.11
You have to multiply by 2 if you think male and female have the same probability to appear :
so 2.22 births with the hypothesis 30 years and male female 50%

For 40 years, that is
6000/40 = 150
n = exp (log 6e9)/150 = 1,16
so 2.32 births with the hypothesis 40 years and male female 50%

Answer 4

this is a really complicated question. because you may have started with one woman, but her first child/children (twins) could have been a girl or two girls. so supposing that she hadn't given birth to twins, you have a 50% chance that each birth was a girl. okay you start with one woman, who, on average has 3 kids (2 girls). those 2 girl have 1 girl each: now you have a total of 1 woman and one man, who had 2 girls and one boy, who gave birth to 1 girl each and 2 boys each. total of 11 people, and 2 girls who can go on and have more kids....this is a long process...you can try to draw it out..it might be easier.

good luck! hope my idea got you started. :)

Answer 5

wrong question - one woman gave birth to some offspring they lived for a while then they themselves reproduced. One woman did not give rise to 6 billion - it is exponential growth.

Answer 6

The math is irrelevant. God did create Adam and Eve. But God did not create Adam and Eve alone.

Answer 7

YOu must tell us what the average span of life of one person is.

Answer 8

6,000,000,000,000,000,000 i think