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.) 53.6 v yr (c) Use the function from part (a) to predict the population of California in the year 2002. (Round your answer to two decimal places.) x million

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 30E: The table shows the mid-year populations (in millions) of five countries in 2015 and the projected...
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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.)
53.6
v yr
(c) Use the function from part (a) to predict the population of California in the year 2002. (Round your answer to two decimal places.)
x million
Transcribed Image Text: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.) 53.6 v yr (c) Use the function from part (a) to predict the population of California in the year 2002. (Round your answer to two decimal places.) x million
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