More people leave Anytown, AL each year than move into it. The population over the past 20 years is shown in the table. Use tech
nology to find an equation that models the exponential decline. Report the rate of decline below, rounding to the nearest hundredth.
Year Population
2000 30,000
2005 27,000
2010 25,500
2015 24,000
2020 22,400
Year Population
2000 30,000
2005 27,000
2010 25,500
2015 24,000
2020 22,400
1 answer:
The equation that models the exponential decline is y = 46348587109809610(0.9861)ˣ if the population over the past 20 years is provided.
<h3>What is the line of best fit?</h3>A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
Let's suppose the equation that models the exponential decline is:
From the data given, we can calculate the value of a and b:
a = 46348587109809610
b = 0.9861
y = 46348587109809610(0.9861)ˣ
Thus, the equation that models the exponential decline is y = 46348587109809610(0.9861)ˣ if the population over the past 20 years is provided.
Learn more about the line of best fit here:
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Given:
Consider the below figure attached with this question.
The linear equation is:
To find:
The values to complete the table of ordered pairs for the given linear equation.
Solution:
We have,
Substituting in the given equation, we get
So, the value for first blank is -8.
Substituting in the given equation, we get
So, the value for second blank is 3.
Substituting in the given equation, we get
So, the value for third blank is -4.
Therefore, the required complete table is:
x y
0 -8
3 -2
2 -4
