The table below represents the amount of money in Sylvester’s bank account as a function of the number of years since he opened
the account. Does this situation represent a linear or non-linear function, and why? Amount of Money in Sylvester’s Bank Account Years Amount of Money (dollars) 1 500 2 1,000 4 1,500 8 2,000 16 2,500
2 answers:
We have been given amount of money in bank account vs. # of years in the question:
- 1 year: 500
- 2 years: 1,000
- 4 years: 1,500
- 8 years: 2,000
- 16 years: 2,500
Plotting these numbers on a chart, with x-axis representing the number of years and y-axis representing the amount of money in the bank account, we can see that the lines joining these points do not form a straight line, but form a curve. Hence, these numbers do not represent a linear function.
Please refer to the graph in the attachment
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