Which of the contexts below could be modeled by a linear function?AnswerMultiple Choice AnswersMoney invested in a savings account grows at an annual rate of 3%.A car depreciates at a rate of 2.7% per year.
Question
Which of the contexts below could be modeled by a linear function?AnswerMultiple Choice AnswersMoney invested in a savings account grows at an annual rate of 3%.A car depreciates at a rate of 2.7% per year.
Solution
The context that could be modeled by a linear function is "A car depreciates at a rate of 2.7% per year."
Here's why:
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A linear function is a function that changes at a constant rate. This means that for every unit increase in the input (x), there is a constant increase in the output (y).
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In the context of the car depreciating at a rate of 2.7% per year, this can be modeled as a linear function because the value of the car decreases by a constant amount each year.
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On the other hand, the money invested in a savings account growing at an annual rate of 3% would not be a linear function. This is because the amount of money in the account grows by a percentage of the current amount, not by a constant amount each year. This type of growth is typically modeled by an exponential function, not a linear one.
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