To Graph: a
Given: points are given
Concept used:
(1) If a function
(2) An exponential model or function is as follows:
(3) Equation of a line passing through the given two points as like
Then,
Here,
Calculation:
(a)The table of data pairs
The Scatter graph of
Here, choose two points
Now, substitute the value;
Thus,
....... (1)
(B)
Now, take the exponentiation of each side by e of the above equation (1);
Therefore, the exponential function is the model of the data pairs
(C) From the exponential model is defined as follows:
Now find the total number of years, so;
Here, the
Therefore,
Then,
Thus,
At our convenience, neglect the term after the decimal.
This is a predicted number of components in
(D) Moore’s law:- The law states that the number of components would double every
Now, calculate the first year put
At our convenience, neglect the term after the decimal.
Then, calculate the year after
At our convenience, neglect the term after the decimal.
Therefore, divide the year after
According to the model, Moore’s law does not exist or hold. Because the number of components did not double.
Conclusion:
Hence, the exponential function of the model satisfies the given data pairs as follows:
Chapter 4 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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