- #1
brad sue
- 281
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Hi, I don't know what I am doing wrong in this problem:
In 1980 the world population was approximately 4.5 billion and in the year 2000 it was approximately 6 billion. Assume that the world population at each time t increases at a rate proprtional to the population at time t. Measure t in year after 1980.
Find the growth constant and give the world population at any time t.
What I did is I set the year 1980 as reference.A(t=0)= Ao=4.5
A(20)=6.
we know that A(t)=Ao*er*t. (r =rate)
so I get 6=A(t)=4.5*er*20.
then I solve for r. I found r=.014.
The solution the teacher not is r=.0231
Can someone please tell me what I missed?
Thank you
B
In 1980 the world population was approximately 4.5 billion and in the year 2000 it was approximately 6 billion. Assume that the world population at each time t increases at a rate proprtional to the population at time t. Measure t in year after 1980.
Find the growth constant and give the world population at any time t.
What I did is I set the year 1980 as reference.A(t=0)= Ao=4.5
A(20)=6.
we know that A(t)=Ao*er*t. (r =rate)
so I get 6=A(t)=4.5*er*20.
then I solve for r. I found r=.014.
The solution the teacher not is r=.0231
Can someone please tell me what I missed?
Thank you
B