Equations
This is the basic equation for all Exponential Functions
y=a(b)x
What is the name of the invisible line that an Exponential Function cannot cross?
Asymptote
The equation for Exponential Growth is y=a(1+r)t. What do the letters a, r, and t represent?
a=Initial Amount
r=Growth Rate
t=Time
The equation for Exponential Growth is y=a(1-r)t. What do the letters a, r, and t represent?
a=Initial Amount
r=Decay Rate
t=Time
1954
This is the equation for Exponential Growth
y=a(1+r)t
What does the "a" or Amplitude of an Exponential Function affect?
The y-intercept
What must be done to the percent rate given in exponential growth problems?
Turn percent to decimal,
move decimal 2 times to the left,
divide the percent by 100.
What would be in the parentheses if the Decay rate was decreasing by 17%
(0.83)
What Monster was the first to battle Godzilla, who later became his friend/sidekick?
Anguiras
This is the equation for Exponential Decay
y=a(1-r)t
What is the y-intercept of the following Exponential Function?
y=7(3)x
(0,7)
A sample of bacteria started at a population of 300, and grew at a rate 72% every hour. How much would the population be after 12 hours?
201124
A sample of Radioactive Cesium has a mass of 600 pounds, and is decaying at a rate of 26% per year. What will be the mass of the Cesium after 5 years.
133.14 pounds
What year did the awful, terrible, no good, very bad American Godzilla movie come out?
1998
What does the "a" stand for in the the Exponential Function Equation
Amplitude
What does the +3 do in the following equation?
y=8(0.5)x+3
Moves the entire graph up 3 units
Jon made a $30,000 investment in Gamestop Stocks. His investment increases at a rate of 15% every year. How much money will Jon have after 10 years?
$121,366.73
Mr. Stierholz's New Bronco is worth $26,820. The value of his car will decrease at a rate of 11% per year. How much will the Bronco be worth in 7 years?
$11862.84
This movie, released in 1994, centered around Godzilla's son, Little Godzilla, being kidnapped by a celestial doppelganger. Also happens to be one of Mr. Stierholz's Favorites
Godzilla vs. SpaceGodzilla
What does the "a" stand for in Exponential Growth and Decay Equations?
Initial Amount
What is the equation for an Exponential Function that increases at a rate of 2.5, originally had a y-intercept at 4, but the whole graph was moved down 10 units.
y=4(2.5)x-10
A population of 1962 spiders increases at a rate of 9% per year. How much will the population have increased after 20 years?
9034
There are 322 Satellites in orbit right now. These satellites fall out of orbit and crash at a rate of 3% per year. Use and exponential Decay formula to find how many satellites crashed after 6 years.
55
As of Tomorrow, March 31st, 2021, how many Godzilla movies have been released both by Japan and USA? (Yes this includes the Animated movies on Netflix)
36