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The growth of a certain species (in millions) since 1950 closely fits the follow

ID: 2869628 • Letter: T

Question

The growth of a certain species (in millions) since 1950 closely fits the following exponential function where t is the number of years since 1950. A(t) = 3100 e^0.0166t a. The population of the species was about 3670 million in 1960. 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 7219 million) c. Estimate the population of the species in the year 2015. a. Choose the correct answer below. b. The approximate population in 2000 is [ ] million. (Round to the nearest whole number as needed.) c. The approximate population in 2015 is [ ] million. (Round to the nearest whole number as needed.)

Explanation / Answer

A(t) = 3100 e0.0166t

a) t = 10,

A(in 1960) = 3660

b) t = 2000 - 1950 = 50

A (in 2000) = 7109

c) t = 2015 - 1950 = 65

A (in 2015) = 9119

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