1. The population of a town was 500 in 2010. The population grows at a rate of 9.6% 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 2020. Show your work.

We have been given that the population of a town was 500 in 2010. The population grows at a rate of 9.6% annually.

We will use exponential growth formula to solve our given problem.

, where,

y = Final amount,

a = Initial value,

r = Growth rate in decimal form,

x = Time.

Let us convert 9.6% into decimal as:

We can see that initial value is 500.

Therefore, the equation represents the population t years after 2010.

To find the population of the town in 2020, we will substitute in our equation as:

Therefore, the population of the town would be approximately 1250 in 2020.

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step-by-step explanation:

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