How do you determine the decay rate from an equation?

The decay rate can be found by subtracting the base from 1 in the equation $$y = a(1 - r)^t$$ .

What is the relationship between the decay factor and the percentage of decay?

The decay factor is equal to (1 - percentage of decay). For example, a 30% decay means the decay factor is 0.7.

How can you tell if a function is exponential decay from its graph?

The graph of exponential decay will show a decreasing curve that approaches the x-axis but never touches it.

What is the formula for continuous exponential growth?

The formula is $$y = ae^{rt}$$ , where 'e' is the base of the natural logarithm, 'a' is the initial amount, 'r' is the growth rate, and 't' is time.

What is the formula for continuous exponential decay?

The formula is $$y = ae^{-rt}$$ , where 'e' is the base of the natural logarithm, 'a' is the initial amount, 'r' is the decay rate, and 't' is time.

Exponential Growth and Decay Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is Exponential Growth?

Back

Tags

CCSS.HSF-IF.C.8B

2.

FLASHCARD QUESTION

Front

What is Exponential Decay?

Back

Tags

CCSS.HSF-IF.C.8B

3.

FLASHCARD QUESTION

Front

How do you identify Exponential Growth or Decay from an equation?

Back

If the base of the exponent (b) is greater than 1, it represents Exponential Growth. If b is between 0 and 1, it represents Exponential Decay.

Tags

CCSS.HSF-IF.C.8B

4.

FLASHCARD QUESTION

Front

Back

The 'a' value represents the initial amount or the y-intercept of the function.

Tags

CCSS.HSF.LE.B.5

5.

FLASHCARD QUESTION

Front

Back

The 'b' value represents the growth (if b > 1) or decay (if 0 < b < 1) factor.

Tags

CCSS.HSF-IF.C.8B

6.

FLASHCARD QUESTION

Front

Write the equation for a population that starts at 200 and grows by 50% each year.

Back

Tags

CCSS.HSF.LE.A.2

7.

FLASHCARD QUESTION

Front

Write the equation for a substance that decays from 1000 grams by 20% each year.

Back

Tags

CCSS.HSF.LE.A.2

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