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.

(a) The equation that estimated the population t years after 2010 is .

b) The population of the town in the year 2022 is 6,682.

Given that,

Based on the above information, the calculation is as follows:

(a) The equation is  

(b) Now the population of the town in the year 2022 is

Here t = 2022 - 2010 = 12 years

So,

y = 6682

Therefore we can conclude that

(a) The equation that estimated the population t years after 2010 is .

b) The population of the town in the year 2022 is 6,682.

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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

it has the same slope and a different y-intercept

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