Concept explainers
To calculate: To find and explain if the data represent linear or nonlinear function.
Answer to Problem 9.8MPS
The data represent a linear function.
Explanation of Solution
Given: C makes monthly deposit in her savings account and a record of her deposit is as follows:
Month | Deposit |
January | 30 |
February | 35 |
March | 40 |
April | 45 |
May | 50 |
Formula Used:
If graph of a function is a straight line, that is the slope of line is constant then the function is a linear function, otherwise the function is non linear function
Calculation:
Given a record of her deposit of C as follows:
Month | Deposit |
January | 30 |
February | 35 |
March | 40 |
April | 45 |
May | 50 |
For the purpose of sketching a graph, consider the number value for month as per the occurrence of month in a yea.
Thus, data is presented as
Month | Deposit |
1 | 30 |
2 | 35 |
3 | 40 |
4 | 45 |
5 | 50 |
Plotting the points on graph by considering the month on x-axis and Deposit on y-axis:
Since the graph is a straight line, hence the data represent a linear function.
Conclusion:
Hence, the data represent a linear function.
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