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

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iriesm iriesm · Answer 1 · 2020-03-13T17:57:05+01:00

Answer:

The answers are:

1: 10,346.0 (the answer before the parenthesis)

2: 1.1 (this answer is the one inside the parenthesis)

3: 112,096 (This is the number of people)

Step-by-step explanation:

I got it right on EDGE

(I would also love a brainliest ;3)

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raphealnwobi raphealnwobi · Answer 2 · 2022-03-30T12:50:29+02:00

The exponential function is given by f(x) = 10500(1.1)ˣ after 25 years the population is 113765

An exponential function is in the form:

y = abˣ

Where y,x are variables, a is the initial value of y and b is the multiplication factor.

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

From the table, when x = 0. f(x) = 10500, hence:

a = 10500

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

16000 = 10500(b)⁵

b = 1.1

The exponential function is given by f(x) = 10500(1.1)ˣ

At 25 years:

f(x) = 10500(1.1)²⁵ = 113765

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