Key Features
Growth or Decay
Growth or Decay
Educational Trivia
Trivia
100
If, y=a(b)x , what does 'a' represent?
a=initial amount or y-intercept
100
If b>1, the function is an exponential ____________ function.
growth
100
Rabbit populations can double (increase by 100%) every month. If there are 10 rabbits on a farm, how many rabbits will be on the farm after 4 months?
160
100
What element does "O" represent on the periodic table?
Oxygen
100
Which actor plays Spider-Man in the Marvel Cinematic Universe?
Tom Holland
200
What is the initial value for the function
f(x)=2(3)x
2
200
If 0<b<1, the function is an exponential ____________ function.
decay
200
An ______________ is a line that a curve approaches as it tends to infinity.
asymptote
200
Which planet is known as the "Red Planet"?
Mars
200
What was the title of Billie Eilish’s debut album, released in 2019?
"When We All Fall Asleep, Where Do We Go?"
300
What is the y-intercept and range?
y-intercept = (0, 1)
range y > 0
300
f(x)=2(.93)x
Does this functions represent exponential growth or decay? What is the percent growth/decay rate?
Exponential Decay
Multiplier .93
1-.93 = .07, which means 7% rate
Check (1-.07)= (.93)
300
f(x)=-4(1.07)x
Does this functions represent exponential growth or decay? What's the percent growth/decay factor?
Exponential Growth. 7%.
300
Who is credited with developing the theory of relativity?
Albert Einstein
300
Which popular Netflix series features a group of kids battling supernatural forces in the 1980s?
Stranger Things
400
What's the multiplier?
b=2
400
Write an equation to represent a town with an initial population of 1,400 people and an annual growth rate of 1.25%
f(x)= 1400 (1 + 0.0125)x
f(x)= 1400(1.0125)x
400
Does the graph represent exponential growth or decay?
Exponential Growth
400
In which country did the Industrial Revolution begin?
England (U.K.)
400
What is the name of the fictional wizardry school in Harry Potter?
Hogwarts
500
What is the difference between linear functions and exponential functions?
Linear functions have a constant difference or rate of change
Exponential functions have a multiplier or common ratio
500
Ms. Wiggins purchased a car for 26,400 and every year it decays by 12%. What can she expect the value of her car to be after 3.5 years?
f(x)=26400(.88)3.5=$16,876.92
500
Annual sales of a fast food restaurant are $530,000 and increasing at a rate of 5%. What will the annual sales be in 6 years?
530,000(1.05)6 =$710,250.69
500
What is the largest organ in the human body?
The Skin
500
Which K-pop group made history by being the first to perform at the Grammy Awards in 2021?
BTS