Exponential Functions (Word Problems)

Flashcard
•
Mathematics
•
9th - 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 f(x) = a(b^x), where 'a' is a constant, 'b' is 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 exhibit exponential growth?
Back
Exponential growth occurs when a quantity increases by a constant percentage over a period of time, resulting in a rapid increase. The function has a base greater than 1.
Tags
CCSS.HSF-IF.C.8B
3.
FLASHCARD QUESTION
Front
What does it mean for a function to exhibit exponential decay?
Back
Exponential decay occurs when a quantity decreases by a constant percentage over a period of time, leading to a rapid decrease. The function has a base between 0 and 1.
Tags
CCSS.HSF-IF.C.8B
4.
FLASHCARD QUESTION
Front
How do you write an exponential growth function?
Back
An exponential growth function can be written as f(t) = a(1 + r)^t, where 'a' is the initial amount, 'r' is the growth rate, and 't' is time.
5.
FLASHCARD QUESTION
Front
How do you write an exponential decay function?
Back
An exponential decay function can be written as 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 compound interest?
Back
The formula for compound interest 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, n is the number of times that interest is compounded per year, and t is the number of years.
7.
FLASHCARD QUESTION
Front
If a population of bacteria triples every hour, how can we express this mathematically?
Back
The population can be expressed as P(t) = P_0(3^t), where P_0 is the initial population and t is the time in hours.
Tags
CCSS.HSF.LE.A.2
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