Question

The population of Guatemala in 2000 was 12.7 million.
Assuming exponential growth, what would be the size of the population after time t (measured in years after 2000) if the population was 30 million in 2075? Answer (in millions): P(t)=

Answer 1

can anybody help me

Answer 2

when you need the size of population

Answer 3

i already know the size of the population. i need the function

Answer 4

@Mertsj

Answer 5

@robtobey @radar @phi @precal

Answer 6

Assuming exponential growth,
means assume the equation
\[ p(t) = A e^{B t} \]
where t is years since 2000, and the population p(t) is in millions of people
now you need to figure out what A and B are.

use The population of Guatemala in 2000 was 12.7 million.
In the year 2000, we have t=0 (zero years from 2000)
use those numbers in the equation
12.7 = A e^{B\cdot 0}= A \cdot 1 = A
that means A is 12.7

now you have
\[ p(t) = 12.7 e^{B t} \]

use population was 30 million in 2075
(which means p(t) =30 and t= 75)
to find B

Answer 7

b=.01?

Answer 8

@phi

Answer 9

@phi

Answer 10

@robtobey

Answer 11

substitute it dude..

Answer 12

i got b=.01 i just dont know if its right.

Answer 13

lols..how come u cant know --' this is basic math u know.. c:

Answer 14

i think i am mentally challenged

Answer 15

haha..lols..

Answer 16

so can u help me

Answer 17

where you come from dude ?

Answer 18

thats irrelevant. what is relevant is if u can help me with my problem or not

Answer 19

hahaha..just answer it..dont be afraid to get wrong answer..omg ! i got wrong answered ! T..T my mum will punish me..please help me ==' lolz..

Answer 20

@Krishnadas

Answer 21

i am not scared to get it wrong. it is online hw that i have to get right otherwise it wont get turned in on time

Answer 22

@Frostbite help him dude :) i have another work to settle ;) @muzzammil.raza : what did u said ?? =='

Answer 23

Assume we don't do natural exponential form, but on the form
\[\LARGE f(x)=b*a ^{x}\]
the constants b and a are given by:
\[\LARGE a=\sqrt[x _{2}-x _{1}]{\frac{ y _{2} }{ y _{1} }}\]
b can be found by using 1 equation with 1 variable (substitute a data set into the equation)

Answer 24

in other words:
\[\LARGE b=\frac{ y _{1} }{ a ^{x _{1}} }=\frac{ y _{2} }{ a ^{x _{1}} }\]

Answer 25

i got it i am good. thanks for all the help

Answer 26

wtf ! haha..lolz