Question

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

Answer 1

The exponential regression equation is y = 10500 * 1.5ˣ and the estimated population after 25 years is 369214712

The complete exponential model

From the complete question, we have the following parameters:

(x,y) = (0,10500) and (5,16000)

The initial value (a) is the value of y when x = 0.

So, we have

a = 10500

The rate (b) is calculated using:

b = 16000/10500

Evaluate

b = 1.52

The exponential function is represented as:

y = abˣ

So, we have:

y = 10500 * 1.5ˣ

The population after 25 years is calculated using:

y = 10500 * 1.5²⁵

Evaluate

y = 369214712

Hence, the exponential regression equation is y = 10500 * 1.5ˣ and the estimated population after 25 years is 369214712

Read more about regression equations at:

brainly.com/question/25226042

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Answer 2

Answer:

f(x) =  9,974.73+(1.05)

xStep-by-step explanation: