To Draw: a scatter plot of given points and also find the power model of the given point.
Given: points are given in
Concept used:
(1) If a function
(2) A power model or function is defined as:
(3) Equation of a line passing through the given two points as like
Then,
Here,
Calculation:
The table of data pairs
The Scatter graph of
Now, the general power function form is
Here, choose two points
Now, substitute the value;
Thus,
This is a required equation between given two points of a line.
Now, the general power function of the model form is
The point
Again similarly the point
Now substitute the value of
Take on both sides logarithm with base
Thus,
Substitute the value of
Thus,
Therefore, substitute the value of
This is a power function of the model of given data pairs.
Conclusion:
Hence, the required power function of the model that satisfies the given points is
Chapter 4 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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