Writing Exponential Functions (Word Problems)

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•
Mathematics
•
9th Grade
•
Hard
+1
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an exponential function?
Back
An exponential function is a mathematical function of the form f(x) = a(b)^x, where 'a' is a constant, 'b' is the base (a positive real number), and 'x' is the exponent. It represents growth or decay processes.
2.
FLASHCARD QUESTION
Front
What does it mean for a function to model exponential growth?
Back
A function models exponential growth if the base 'b' is greater than 1, indicating that the quantity increases over time.
Tags
CCSS.HSF-IF.C.8B
3.
FLASHCARD QUESTION
Front
What does it mean for a function to model exponential decay?
Back
A function models exponential decay if the base 'b' is between 0 and 1, indicating that the quantity decreases over time.
Tags
CCSS.HSF-IF.C.8B
4.
FLASHCARD QUESTION
Front
How do you identify the initial value in an exponential function?
Back
The initial value in an exponential function f(x) = a(b)^x is represented by 'a', which is the value of the function when x = 0.
Tags
CCSS.HSF.LE.B.5
5.
FLASHCARD QUESTION
Front
What is the formula for exponential decay?
Back
The formula for exponential decay is f(t) = a(1 - r)^t, where 'a' is the initial amount, 'r' is the decay rate, and 't' is time.
Tags
CCSS.HSF-IF.C.8B
6.
FLASHCARD QUESTION
Front
What is the formula for exponential growth?
Back
The formula for exponential growth is f(t) = a(1 + r)^t, where 'a' is the initial amount, 'r' is the growth rate, and 't' is time.
Tags
CCSS.HSF-IF.C.8B
7.
FLASHCARD QUESTION
Front
How do you convert a percentage decay rate to a decimal for use in an exponential function?
Back
To convert a percentage decay rate to a decimal, divide the percentage by 100. For example, a 30% decay rate becomes 0.30.
Tags
CCSS.HSF-IF.C.8B
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