Question
The growth of a certain species(in millions) since 1970 1970 closely fits the following exponential function where t is the number of years since 1970
The growth of a certain species(in millions) since 1970
1970 closely fits the following exponential function where t is the number of years since 1970
1970.
Upper A left parenthesis t right parenthesis equals 3100 e Superscript 0.0166 t
A(t)=3100e0.0166t
a. The population of the species was about 3670 million in 1980. How closely does the function approximate thisvalue?
b. Use the function to approximate the population of the species in 2000.(The actual population in 2000 was about 5211 million)
c. Estimate the population of the species in the year 2015.
Can you help me with the following 3 questions
A. Which is correct below?
a. The population of the species in 1980 is approximately 3160 million. This is not a close appoximation to the actual value of 3670 million, because the approximation does not take into account a massive growth increase between 1970 and 1980.
b. The population of the species in 1980 is approximately 3660 million. This is fairly close to the actual value of 3670 million, because the percentage difference is very small.
c. The population of the species in 1980 is approximately 3660 million. This is not a close appoximation to the actual value of 3670 million, because the difference in the two populations is tenmillion, which is large.
B. WHat is the answer to:
The approximate population in 2000 is million.
(Round to the nearest whole number asneeded.)
C.. WHat is the answer to:
The approximate population in 2015 is million.
(Round to the nearest whole number asneeded.)
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