To calculate: To tell whether the data in the table can be modelled by a linear equation and if yes, then write the linear equation that represents
Answer to Problem 29E
The data can be modelled by a linear equation and linear equation is
Explanation of Solution
Given: Data is
x | y |
0 | 1.2 |
1 | 1.4 |
2 | 1.6 |
4 | 2 |
Formula Used:
If the slope of line is constant, then the data can be modelled by a linear equation.
Also, equation of line passing through point and slope is given as
Calculation:
Data is given as follows:
x | y |
0 | 1.2 |
1 | 1.4 |
2 | 1.6 |
4 | 2 |
Slopes are calculated as follows:
Since the slope is constant
Thus, the data can be modelled by a linear equation
Equation of function is found by finding the equation of line passing through
Thus, equation of line is calculated as follows:
Substituting the values in above equation:
Conclusion:
Hence, the data can be modelled by a linear equation and linear equation is
Chapter 4 Solutions
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