Concept explainers
A real-world situation that represents a linear function
Answer to Problem 30HP
A person’s bank account in which 1 lakh rupees are being deposited every month.
Explanation of Solution
Linear Functions: The graph of linear functions is always a straight line. These functions have the form
The slope of the linear graph always remains constant. The slope of the equation is given by:
The real-world situation which represents a linear function can be:
A person depositing 1 lakh rupees in his bank account every month. The table can be formed for this situation as given below:
Month (x) | Account Balance (y) |
1 | 100000 |
2 | 200000 |
3 | 300000 |
4 | 400000 |
5 | 500000 |
6 | 600000 |
7 | 700000 |
From the given table, we can see that the slope, ‘m’, remains constant for all the values.
As m1=m2=m3, the slope is constant, hence, the situation represents a linear function.
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