12. The population of a city is growing exponentially and can be modeled by the equation P=16,400(1.082) where P represents the population and t represents the number of years since 2023. a. Predict the population in the year 2030. P≈28473 people P = 16,400 (1082) 7 b. In what year will the population reach 22,000? 22.000 = 16,400 (1.002) 16,400 22,000 + - 1.082 161400 22,000 109 = + 10g 1.082 16,400 1091.088 1091.082 十二 16g 22,000 16,400 1091088

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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12. The population of a city is growing exponentially and can be modeled by the equation
P=16,400(1.082)
where P represents the population and t represents the number of years since 2023.
a. Predict the population in the year 2030.
P≈28473 people
P = 16,400 (1.082)
?
b. In what year will the population reach 22,000?
22.000 16,400 (1.002)
16,400
=
+
22,000
t
= 1.082
16.400
109
22,000
16,400
1091082
= + 10g 1.082
1091-082
十二
109
22,000
16,400
1091.088
Transcribed Image Text:12. The population of a city is growing exponentially and can be modeled by the equation P=16,400(1.082) where P represents the population and t represents the number of years since 2023. a. Predict the population in the year 2030. P≈28473 people P = 16,400 (1.082) ? b. In what year will the population reach 22,000? 22.000 16,400 (1.002) 16,400 = + 22,000 t = 1.082 16.400 109 22,000 16,400 1091082 = + 10g 1.082 1091-082 十二 109 22,000 16,400 1091.088
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