Population of a City The population of a certain city was 112,000 in 2014, and the observed doubling time for the pop- ulation is 18 years. (a) Find an exponential model n(1) = n, 20a for the popula- tion t years after 2014. (b) Find an exponential model n(t) = nge" for the popula- tion i years after 2014. (c) Sketch a graph of the population at time t. (d) Estimate how long it takes the population reach 500,000.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 34E
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Population of a City The population of a certain city was
112,000 in 2014, and the observed doubling time for the pop-
ulation is 18 years.
(a) Find an exponential model n(1) = n, 20a for the popula-
tion t years after 2014.
(b) Find an exponential model n(t) = nge" for the popula-
tion i years after 2014.
(c) Sketch a graph of the population at time t.
(d) Estimate how long it takes the population
reach
500,000.
Transcribed Image Text:Population of a City The population of a certain city was 112,000 in 2014, and the observed doubling time for the pop- ulation is 18 years. (a) Find an exponential model n(1) = n, 20a for the popula- tion t years after 2014. (b) Find an exponential model n(t) = nge" for the popula- tion i years after 2014. (c) Sketch a graph of the population at time t. (d) Estimate how long it takes the population reach 500,000.
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