Question 1122142
Not as A(t)=3500e^0.0166t


but as  A(t)=3500e^(0.0166t).



{{{A(t)=3500e^(0.0166t)}}}


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a. The population of the species was about 4142 million in 1980. How closely does the function approximate this​ value?
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That is t=10.

{{{A(10)=3500e^(0.0166*10)}}}
{{{A=3500e^(0.166)}}}
{{{A=4132}}}

This is a difference of 10 million.
The model is a bit low by 0.24%.



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b. Use the function to approximate the population of the species in 2000.​ (The actual population in 2000 was about 5869 ​million)
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That is 30 years past 1970.
Use t=30.  Evaluate A.