The population of California was 29.76 million in 1990 and 33.87 million in 2000. Assume that the population grows exponentially. (a) Find a function that models the population (in millions) t years after 1990. (Round your r value to six decimal places.) n(t) =       (b) Find the time required after 1990 for the population to double. (Round your answer to one decimal place.)  yr (c) Use the function from part (a) to predict the population of California in the year 2009. (Round your answer to two decimal places.)  million

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.1: Exponential Functions
Problem 37E
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This exercise uses the population growth model.

The population of California was 29.76 million in 1990 and 33.87 million in 2000. Assume that the population grows exponentially.

(a) Find a function that models the population (in millions) t years after 1990. (Round your r value to six decimal places.)
n(t) =
 
 
 

(b) Find the time required after 1990 for the population to double. (Round your answer to one decimal place.)
 yr

(c) Use the function from part (a) to predict the population of California in the year 2009. (Round your answer to two decimal places.)
 million
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