question\nwhich of the contexts below could be modeled by an exponential function?\nanswer\nan elevator…

question\nwhich of the contexts below could be modeled by an exponential function?\nanswer\nan elevator descends at a rate of 13 feet per second.\nmontraie puts $65 a month into a savings account.\na music service has a fixed monthly cost and charges $0.75 for each downloaded song.\na population of 200 bacteria triples every minute.

question\nwhich of the contexts below could be modeled by an exponential function?\nanswer\nan elevator descends at a rate of 13 feet per second.\nmontraie puts $65 a month into a savings account.\na music service has a fixed monthly cost and charges $0.75 for each downloaded song.\na population of 200 bacteria triples every minute.

Answer

Brief Explanations:

Exponential functions model quantities that change by a constant multiplicative factor over equal intervals, rather than a constant additive amount.

  1. The elevator's descent is a constant rate (additive change per second), linear.
  2. The fixed monthly music cost plus per-song charge is linear (constant additive cost per song).
  3. The monthly $65 savings deposit is a constant additive increase, linear.
  4. The bacteria population triples (multiplicative factor of 3) every minute, which matches exponential growth.

Answer:

A population of 200 bacteria triples every minute.