The population of a city in 2010 is 50000 and it grows by 5% each year after - The population of a city in 2010 is 50,000, and it grows by 5% each year after. Write a function f which models the population of the city t years after 2010.

The population of a city in 2010 is 50,000, and it grows by 5% each year after. Write a function f which models the population of the city t years after 2010.

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The population of a city in 2010 is 50000 and it grows by 5% each year after Write a function f which models the population of the city t years CCSS.HSA-SSE.A.Q.A1.DCI.17 CCSS.HSA-SSE.A.1.Q.A1.DCI.17 CCSS.HSF-BF.A.1.A.Q.A1.DCI.17 CCSS.HSF-IF.A.2.Q.A1.DCI.17 CCSS.HSN-Q.A.2.Q.A1.DCI.17 HSA-SSE.A HSA-SSE.A.1 HSF-BF.A.1.a HSF-IF.A.2 HSN-Q.A.2 math unit 5 lesson 17

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Sangeetha Pulapaka (last edited 2 years ago) (Expert, Educator @Qalaxia)

f(t) = 50,000 ( 1+ 0.05)^{t} = 50,000(1.05)^{t}
f(t) = 50,000(1.05)^{7} \approx 70,355
The population of the city in 2020 is 50,000 (1.05)^{10} \approx 81,444 and the population of the city in 2030 is 50,000(1.05)^{20} = 132,644
\frac{f(10)}{f(0)} = \frac{f(20)}{f(10)} \approx 1.62888

WonderfulAfricanBuffalo (last edited 7 months ago) (Minor, 8^th Grade)

I DO NOT KNOW THATS WHY IM ASKING

Sangeetha Pulapaka (last edited 7 months ago)

I hope your question was answered.