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Algebra 2 (Eureka Math/EngageNY)

Course: Algebra 2 (Eureka Math/EngageNY) > Unit 3

Lesson 11: Topic D: Lessons 25-28: Modeling with exponential functions
Math
Algebra 2 (Eureka Math/EngageNY)
Module 3: Exponential and logarithmic functions
Topic D: Lessons 25-28: Modeling with exponential functions
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Interpret change in exponential models: changing units

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Problem

After the last ice age began, the number of animal species in Australia changed rapidly.
The relationship between the elapsed time, t, in years, since the ice age began, and the total number of animal species, S, start subscript, start text, y, e, a, r, end text, end subscript, left parenthesis, t, right parenthesis, is modeled by the following function:
Complete the following sentence about the rate of change in the number of species in decades.
Round your answer to two decimal places.
Every decade, the number of species decays by a factor of space
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
.
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