Which of the contexts below could be modeled by a linear function?AnswerAttempt 1 out of 2Multiple Choice AnswersA population of 250 bacteria quadruples every day.A coin collection appreciates at a rate of 2.3% per year.Money invested in a savings account grows at an annual rate of 4.2%.Mamadou puts $50 a month into a savings account.
Question
Which of the contexts below could be modeled by a linear function?AnswerAttempt 1 out of 2Multiple Choice AnswersA population of 250 bacteria quadruples every day.A coin collection appreciates at a rate of 2.3% per year.Money invested in a savings account grows at an annual rate of 4.2%.Mamadou puts $50 a month into a savings account.
Solution
The context that could be modeled by a linear function is "Mamadou puts $50 a month into a savings account."
This is because a linear function has a constant rate of change, which in this case is the $50 that Mamadou is depositing each month. The other options involve rates of change that are not constant (they are either increasing or decreasing by a certain percentage each time period), which would require a different type of function to model accurately.
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