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The table below shows the population of a town over x years. A 2-column table with 5 rows. The first column is labeled years with entries 0, 5, 10, 15, 20. The second column is labeled population with entries 10,500; 16,000; 26,000; 40,000; 65,000. What values, rounded to the nearest tenth, complete the exponential regression equation that models the data? f(x) = ( )x Based on the regression equation and rounded to the nearest whole person, what is the estimated population after 25 years? people

Respuesta :

Answer:

10,346.0(1.1)^x

112,096 people

Step-by-step explanation:

edg

The estimated population after 25 years is 113765.

What is an exponential function?

It is a function of the form,

y = ab^{x}

where a is the initial value of y

and b is the multiplication factor.

For given example,

Let f(x) represent the population of town after 25 years.

From the table,

when x = 0 , f(x) = 10500, hence,

a = 10500

At x = 5 , f(x) = 16000,

So, we have exponential function,

⇒16000 = 10500 × b^5

⇒b = 1.1

⇒ f(x) = 10500 × (1.1)^25

Hence, we can conclude that f(x) = 113765

Therefore, the estimated population after 25 years is 113765.

Learn more about exponential functions here:

https://brainly.com/question/11487261

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