Exponential Equations
Flashcard
•
Mathematics
•
8th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an exponential equation?
Back
An exponential equation is a mathematical expression in which a variable appears in the exponent. It can be written in the form y = ab^x, where a is a constant, b is the base, and x is the exponent.
2.
FLASHCARD QUESTION
Front
What does the base in an exponential function represent?
Back
The base in an exponential function represents the growth (if greater than 1) or decay (if between 0 and 1) factor of the function.
Tags
CCSS.HSF-IF.C.8B
3.
FLASHCARD QUESTION
Front
What is the general form of an exponential growth equation?
Back
The general form of an exponential growth equation is y = ab^x, where b > 1.
Tags
CCSS.HSF-LE.A.1A
4.
FLASHCARD QUESTION
Front
What is the general form of an exponential decay equation?
Back
The general form of an exponential decay equation is y = ab^x, where 0 < b < 1.
Tags
CCSS.HSF-LE.A.1A
5.
FLASHCARD QUESTION
Front
In the equation P = 6191(1.04)^t, what does the 1.04 represent?
Back
The 1.04 represents a 4% annual increase in population.
Tags
CCSS.HSF.LE.B.5
6.
FLASHCARD QUESTION
Front
How do you find the initial value in an exponential equation?
Back
The initial value can be found by evaluating the equation at x = 0, which gives y = a.
7.
FLASHCARD QUESTION
Front
What is the value of b in the equation y = ab^x if the quantity decreases by 29% each hour?
Back
The value of b is 0.71, representing a 29% decrease.
Tags
CCSS.HSF-IF.C.8B
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