CaptainMarvelous
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The population of a country is decreasing, and its population (in millions) over six years is shown in the table. Find an exponential regression curve to model this situation.
A) y = 54.3(.918x)
B) y = 67.2(.887x)
C) y = 72.8(.842x)
D) y = 83.9(.903x)

The population of a country is decreasing and its population in millions over six years is shown in the table Find an exponential regression curve to model this class=

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It is definitely not A, and definitely not B, and D look better then C. So it's probably D. Because the numbers 54.3 and 67.2 are way too low and .887 is too low for the percent. A is a simply outrageous answer for this problem. C goes down to quickly so D is the reasonable answer.

The exponential regression equation is represented as y = 83.9 (0.903)ˣ. Then the correct option is D.

What is an exponent?

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

The population of a country is decreasing, and its population (in millions) over six years is shown in the table.

The exponential regression equation is given as

[tex]\rm y = ab^x[/tex]

For (1, 73), then we have

[tex]\rm ab = 73[/tex]

For (6, 44), then we have

[tex]\rm 44 = ab^6[/tex]

This can be written as

[tex]\begin{aligned} \rm (ab)b^5 &= 44 \\\\\rm 73b^5 &= 44\\\\\rm b ^5 &= \dfrac{44}{73}\\\\\rm b &= 0.903 \end{aligned}[/tex]

Then the value of a will be

[tex]\begin{aligned} \rm a\times 0.903 &= 73\\\\\rm a &= 83.9 \end{aligned}[/tex]

Then the exponential regression equation is given below.

y = 83.9 (0.903)ˣ

More about the exponent link is given below.

https://brainly.com/question/5497425

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