SOLUTION: Hi, I was wondering if you could help me calculate when there will be only standing room on the earth using an exponential function. Growth rate; 14%/year Current habitual space

Question 873465: Hi,
I was wondering if you could help me calculate when there will be only standing room on the earth using an exponential function.
Growth rate; 14%/year
Current habitual space on earth; 511,674,787.3 km^2
each person takes up 1 m^2
I have currently established an equation;
Population= Ae^0.14(t-2014)
I am just not sure how to find A.

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
A is the current population at time t = 2014 (ie in the year 2014)

If you were to plug in t = 2014, you would get P = A*e^(0.14(2014-2014)) which leads to P = A*e^(0.14*0) = A*e^0 = A*1 = A

So plugging in t = 2014 means P = A
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