Question

A population numbers 12,000 organisms initially and grows by 9.1% each year. (A) Suppose P represents population, and t the number of years of growth. An exponential model for the population can be written in the form $P = a \cdot b^t$ where a = and b = (B) Use logs to determine the number of years until the population reaches 57,600 organisms. Round answer to 2 decimal places. t = years

          A population numbers 12,000 organisms initially and grows by 9.1% each year.
(A) Suppose P represents population, and t the number of years of growth. An exponential model for the
population can be written in the form $P = a \cdot b^t$ where
a = 
 and b = 
(B) Use logs to determine the number of years until the population reaches 57,600 organisms. Round
answer to 2 decimal places.
t = 
years

A population numbers 12,000 organisms initially and grows by 9.1% each year.
(A) Suppose P represents population, and t the number of years of growth. An exponential model for the
population can be written in the form P = a · b^t where
a =
and b =
(B) Use logs to determine the number of years until the population reaches 57,600 organisms. Round
answer to 2 decimal places.
t =
years

Added by Thomas R.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

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Solved by Expert Daniel Carr

05/24/2022

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Texts: A population numbers 12,000 organisms initially and grows by 9.1% each year. A) Suppose P represents population, and t represents the number of years of growth. An exponential model for the population can be written in the form P = a * b^t, where b = 1 + r/100 and r is the growth rate. B) Use logs to determine the number of years until the population reaches 57,600 organisms. Round the answer to 2 decimal places. Years: