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2-19.

Below are two situations that can be described using exponential functions. They represent a small sample of the situations where quantities grow or decay by a constant percentage over equal periods of time. For each situation: Homework Help ✎

  • ​What is an appropriate unit of time (such as days, weeks, years)?

  • What is the multiplier that should be used?

  • What is the initial value?

  • Write the equation of an exponential function that represents the situation.

  1. A house purchased for has an annual appreciation of .

    Time is in years.

    The multiplier is .

  2. The number of bacteria present in a colony is at noon, and it increases at a rate of per hour.

    Use the same method as (a).