The type of function of Adam’s and Suzanne’s savings account
Answer to Problem 22PPS
Adam’s monthly balance represents a linear function.
Suzanne’s monthly balance represents a non-linear function.
Explanation of Solution
Given:
Adam puts $15 in his savings account every month
Suzanne doubles her bank account balance every month
Calculation:
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:
Adam’s savings account’s balance for each month can be written in tabular form as:
Month (x) | Balance (y) |
1 | 15 |
2 | 30 |
3 | 45 |
4 | 60 |
5 | 75 |
From the table, slope can be found as:
As m1=m2=m3, the slope is constant, hence, Adam’s monthly balance represents a linear function.
Now, Suzanne’s savings account’s balance for each month can be written in tabular form as:
Month (x) | Balance (y) |
1 | y |
2 | 2y |
3 | 4y |
4 | 8y |
5 | 16y |
From the table, slope can be found as:
As m1 is not equal to m2 is not equal to m3, the slope is not constant, hence, Suzanne’s monthly balance represents a non-linear function.
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