Which of the contexts below could not be modeled by an exponential function?AnswerAttempt 1 out of 2Multiple Choice AnswersA coin collection appreciates at a rate of 17.2% per year.A music service has a fixed monthly cost and charges $0.20 for each downloaded song.A car depreciates at a rate of 2.7% per year.Money invested in a savings account grows at an annual rate of 3.4%.
Question
Which of the contexts below could not be modeled by an exponential function?AnswerAttempt 1 out of 2Multiple Choice AnswersA coin collection appreciates at a rate of 17.2% per year.A music service has a fixed monthly cost and charges $0.20 for each downloaded song.A car depreciates at a rate of 2.7% per year.Money invested in a savings account grows at an annual rate of 3.4%.
Solution
The context that could not be modeled by an exponential function is "A music service has a fixed monthly cost and charges $0.20 for each downloaded song." This is because the cost of the music service is not increasing at a constant rate, but rather, it is increasing by a fixed amount for each song downloaded. This scenario is better modeled by a linear function, not an exponential one.
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