Exponential Word Problems

Flashcard
•
Mathematics
•
8th - 12th Grade
•
Hard
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 y = a(b^x), where 'a' is a constant, 'b' is the base (a positive real number), and 'x' is the exponent. It shows rapid growth or decay.
2.
FLASHCARD QUESTION
Front
What is the difference between exponential growth and exponential decay?
Back
Exponential growth occurs when a quantity increases at a rate proportional to its current value (e.g., y = a(b^x) where b > 1). Exponential decay occurs when a quantity decreases at a rate proportional to its current value (e.g., y = a(b^x) where 0 < b < 1).
Tags
CCSS.HSF-IF.C.8B
3.
FLASHCARD QUESTION
Front
What is the formula for exponential growth?
Back
The formula for exponential growth is y = 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
4.
FLASHCARD QUESTION
Front
What is the formula for exponential decay?
Back
The formula for exponential decay is y = 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
5.
FLASHCARD QUESTION
Front
How do you identify an exponential growth equation from a list of equations?
Back
An exponential growth equation will have a base greater than 1 in the form y = a(b^x) where b > 1.
6.
FLASHCARD QUESTION
Front
How do you identify an exponential decay equation from a list of equations?
Back
An exponential decay equation will have a base between 0 and 1 in the form y = a(b^x) where 0 < b < 1.
7.
FLASHCARD QUESTION
Front
What is the value of a car that depreciates at 8% per year after 1 year if its initial value is $15,000?
Back
The value after 1 year is $15,000(0.92) = $13,800.
Tags
CCSS.HSF.BF.A.2
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