SOLUTION: The growth of a certain species​ (in millions) since 1970 closely fits the following exponential function where t is the number of years since 1970.
A(t)=3500e^0.0166t
a. T
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Question 1122142: The growth of a certain species (in millions) since 1970 closely fits the following exponential function where t is the number of years since 1970.
A(t)=3500e^0.0166t
a. The population of the species was about 4142 million in 1980. How closely does the function approximate this value?
b. Use the function to approximate the population of the species in 2000. (The actual population in 2000 was about 5869 million)
c. Estimate the population of the species in the year 2015.
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Not as A(t)=3500e^0.0166t
but as 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.
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.
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