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Which of the contexts below represents exponential growth?AnswerAttempt 1 out of 2Multiple Choice AnswersA music service has a fixed monthly cost and charges $0.65 for each downloaded song.A town's population grows at a rate of 7.2% every year.The amount of a certain medication in a person's bloodstream decreases by start fraction, 3, divided by, 5, end fraction 53​ every week.A radioactive compound decays at a rate of 26% per hour.

Question

Which of the contexts below represents exponential growth?AnswerAttempt 1 out of 2Multiple Choice AnswersA music service has a fixed monthly cost and charges $0.65 for each downloaded song.A town's population grows at a rate of 7.2% every year.The amount of a certain medication in a person's bloodstream decreases by start fraction, 3, divided by, 5, end fraction 53​ every week.A radioactive compound decays at a rate of 26% per hour.

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Solution

The context that represents exponential growth is "A town's population grows at a rate of 7.2% every year." This is because exponential growth is characterized by a rate that becomes more rapid in proportion to the growing total number or size, which is the case with the town's population in this scenario.

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Which of the contexts below represents exponential growth?AnswerMultiple Choice AnswersAn amusement park charges $3.50 to go on each of the rides.A town's population grows at a rate of 5.3% every year.The amount of a certain medication in a person's bloodstream decreases by start fraction, 2, divided by, 5, end fraction 52​ every minute.A town's population shrinks at a rate of 9.7% every year.

Which of the contexts below represents exponential growth?AnswerMultiple Choice AnswersA population of 150 bacteria quadruples every week.David puts $50 a month into a savings account.A car depreciates at a rate of 2.6% per year.A town's population shrinks at a rate of 2.4% every year.

Which of the contexts below could be modeled by an exponential function?AnswerMultiple Choice AnswersA music service has a fixed monthly cost and charges $0.40 for each downloaded song.A sunflower was growing at a rate of 1 inches per week.A radioactive compound decays at a rate of 13% per hour.Snow was melting at a rate of 2.5 inches per hour.

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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%.

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