Writing Exponential Functions from Word Problems
Flashcard
•
Mathematics
•
8th - 9th Grade
•
Hard
+4
Standards-aligned
Wayground Content
FREE Resource
Student preview

15 questions
Show all answers
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 models situations where a quantity grows or decays at a constant percentage rate.
2.
FLASHCARD QUESTION
Front
How do you identify the initial value in an exponential function from a word problem?
Back
The initial value is the starting amount before any growth or decay occurs. It is usually given in the problem as the quantity at time t=0.
3.
FLASHCARD QUESTION
Front
What does the base in an exponential function represent?
Back
The base represents the growth (if greater than 1) or decay (if between 0 and 1) factor of the function. For example, a base of 1.05 indicates a 5% growth rate.
Tags
CCSS.HSF-IF.C.8B
4.
FLASHCARD QUESTION
Front
How do you convert a percentage growth rate into a base for an exponential function?
Back
To convert a percentage growth rate into a base, use the formula: base = 1 + (percentage rate as a decimal). For example, a 3.5% growth rate becomes 1.035.
Tags
CCSS.HSF.LE.A.2
5.
FLASHCARD QUESTION
Front
How do you convert a percentage decay rate into a base for an exponential function?
Back
To convert a percentage decay rate into a base, use the formula: base = 1 - (percentage rate as a decimal). For example, a 5% decay rate becomes 0.95.
Tags
CCSS.HSF-IF.C.8B
6.
FLASHCARD QUESTION
Front
Write an exponential function for an investment of $1500 increasing at a rate of 3.5%.
Back
B(t) = 1500(1.035)^t.
Tags
CCSS.HSF.LE.A.2
7.
FLASHCARD QUESTION
Front
Write an exponential function for a college tuition of $12,000 increasing at a rate of 6% per year.
Back
C(t) = 12000(1.06)^t.
Tags
CCSS.HSF.LE.A.2
Create a free account and access millions of resources
Create resources
Host any resource
Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever
or continue with

Microsoft
%20(1).png)
Apple
Others
By signing up, you agree to our Terms of Service & Privacy Policy
Already have an account?
Similar Resources on Wayground
10 questions
9.5 Measurements and classifiers
Flashcard
•
9th Grade
9 questions
PROBLEMAS MRU y MRUA
Flashcard
•
8th Grade
14 questions
LETTER 1
Flashcard
•
KG
15 questions
Windows Shortcuts
Flashcard
•
7th - 9th Grade
15 questions
Understanding a Paycheck and Pay Stub
Flashcard
•
8th Grade
15 questions
S1 Tenses
Flashcard
•
7th - 9th Grade
10 questions
High Note 2. Unit 1. Test your vocabulary
Flashcard
•
10th Grade
11 questions
Basic information of Computers
Flashcard
•
7th Grade
Popular Resources on Wayground
20 questions
Brand Labels
Quiz
•
5th - 12th Grade
11 questions
NEASC Extended Advisory
Lesson
•
9th - 12th Grade
10 questions
Ice Breaker Trivia: Food from Around the World
Quiz
•
3rd - 12th Grade
10 questions
Boomer ⚡ Zoomer - Holiday Movies
Quiz
•
KG - University
25 questions
Multiplication Facts
Quiz
•
5th Grade
22 questions
Adding Integers
Quiz
•
6th Grade
10 questions
Multiplication and Division Unknowns
Quiz
•
3rd Grade
20 questions
Multiplying and Dividing Integers
Quiz
•
7th Grade
Discover more resources for Mathematics
24 questions
3.1 Parallel lines cut by a transversal
Quiz
•
8th Grade
12 questions
Graphing Inequalities on a Number Line
Quiz
•
9th Grade
20 questions
Slope from a Graph
Quiz
•
8th Grade
20 questions
Graphing Points on the Coordinate Plane
Quiz
•
8th Grade
20 questions
multistep equations
Quiz
•
8th Grade
14 questions
8th Unit 2 Lesson 6 Similarity
Quiz
•
8th Grade
15 questions
Two Step Equations
Quiz
•
9th Grade
13 questions
Finding slope from graph
Quiz
•
8th Grade