There were 35 million people in 1980 (when t=0 ) and 80 million people in 1990. How do you find an exponential model for the population (in millions of people) at any time t, in years after 1980?

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Answer 1 · 2016-11-30T11:07:36

#y=35*(16/7)^(t/10)#

The generic exponential model is:

#y=ab^t#

Use the data you have to determine #a,b#:

for #t=0#:

#35 = a* b^0 =a#

for #t=10#:

#80 = 35 b^10#

and then #b= (80/35)^(1/10)#

Finally:

#y=35*(16/7)^(t/10)#