1. The population of a town was 5655 in 2010. The population grows at a rate of 1.4% annually.

(a) Use the exponential growth model to write an equation that estimates the population t years after 2010.

(a) Estimate the population of the town in 2022. Show your work.

Question

Mathematics

Howe

16 February, 14:22

1. The population of a town was 5655 in 2010. The population grows at a rate of 1.4% annually.

(a) Use the exponential growth model to write an equation that estimates the population t years after 2010.

(a) Estimate the population of the town in 2022. Show your work.

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Answers (1)

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Pope · Answer 1

Step-by-step explanation:

b = 5655

r = 1.4% = 1.4/100 = 0.014

Therefore, the equation would be

y = 5655 (1 + 0.014) ^t

y = 5655 (1.014) ^t

b) in 2022, t = 2022 - 2010 = 12 years

y = 5655 (1.014) ^12

y = 6682

1. The population of a town was 5655 in 2010. The population grows at a rate of 1.4% annually.(a) Use the exponential growth model to write an equation that estimates the population t years after 2010.(a) Estimate the population of the town in 2022. Show your work.

1. The population of a town was 5655 in 2010. The population grows at a rate of 1.4% annually.

(a) Use the exponential growth model to write an equation that estimates the population t years after 2010.

(a) Estimate the population of the town in 2022. Show your work.