How do you find the growth/decay factor from a percentage?

To find the growth factor from a percentage increase, use $$1 + (percentage/100)$$ . For a percentage decrease, use $$1 - (percentage/100)$$ .

What is the formula for calculating the value of an investment after a certain number of years with compound interest?

The formula is $$A = P(1 + r/n)^{nt}$$ , where 'A' is the amount of money accumulated after n years, 'P' is the principal amount, 'r' is the annual interest rate (decimal), 'n' is the number of times that interest is compounded per year, and 't' is the number of years.

What is the significance of the base in an exponential function?

The base of an exponential function indicates the growth or decay rate. A base greater than 1 indicates growth, while a base between 0 and 1 indicates decay.

How do you express a 3.5% increase as a decimal?

To express a 3.5% increase as a decimal, divide by 100: $$3.5/100 = 0.035$$ .

What is the relationship between exponential functions and real-world applications?

Exponential functions model real-world phenomena such as population growth, radioactive decay, and interest calculations, where quantities change at rates proportional to their current values.

What is the formula for exponential growth?

The formula for exponential growth is $$f(t) = a e^{kt}$$ , where 'a' is the initial amount, 'k' is the growth constant, and 't' is time.

What is the formula for exponential decay?

The formula for exponential decay is $$f(t) = a e^{-kt}$$ , where 'a' is the initial amount, 'k' is the decay constant, and 't' is time.

How do you determine the initial value in an exponential function?

The initial value in an exponential function is the quantity at time zero, often denoted as 'a' in the function $$f(x) = a(1 + r)^x$$ or $$f(x) = a(1 - r)^x$$ .

Writing exponential growth or decay functions Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is an exponential growth function?

Back

Tags

CCSS.HSF-IF.C.8B

2.

FLASHCARD QUESTION

Front

What is an exponential decay function?

Back

Tags

CCSS.HSF-IF.C.8B

3.

FLASHCARD QUESTION

Front

How do you convert a percentage decrease to a decimal for calculations?

Back

Tags

CCSS.7.EE.A.1

4.

FLASHCARD QUESTION

Front

What is the first step in writing an exponential decay function?

Back

Tags

CCSS.HSF.LE.A.2

5.

FLASHCARD QUESTION

Front

How do you write the exponential function for a car that decreases in value by 10% each year?

Back

Tags

CCSS.HSF.LE.A.2

6.

FLASHCARD QUESTION

Front

What is the growth factor for a population that increases by 65% each year?

Back

Tags

CCSS.HSF-IF.C.8B

7.

FLASHCARD QUESTION

Front

What does the term 'decay factor' refer to in exponential decay?

Back

Tags

CCSS.HSF-IF.C.8B

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