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Match each exponential function to the description of its percent rate of change.

Match each exponential function to the description of its percent rate of change.-example-1
User New Start
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2 Answers

2 votes

Answer:

Explanation:

User JizhihaoSAMA
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1 vote

Answer:

Given in order:

  • 22% growth
  • 12% growth
  • 12% decay
  • 20% decay

Explanation:

The exponential function is in the form
f(x)=a(1+r)^x

If r is positive (the number in the bracket is larger than 1), then it is exponential growth and if r is negative (the number in the bracket is less than 1), then it is exponential decay.

Growth or Decay by how much???

The amount that is greater than/less than 1

  • The first function's number inside the bracket is greater than 1 by 0.22 (22%). So it is "22% growth".
  • The second function's number inside the bracket is greater than 1 by 0.12 (12%). So it is "12% growth".
  • The third function's number inside the bracket is less than 1 by 0.12 (12%). So it is "12% decay".
  • The fourth function's number inside the bracket is less than 1 by 0.2 (20%). So it is "20% decay".

User Atavakoli
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