Tables linear vs Exponential
Bunnies have babies having Bunnies
Growth
Decay
Normal Trivia
10
A table shows equal differences between outputs for equal input steps. Is this linear or exponential?
Linear
10
A population triples every year. Starting at 4, after 3 years the population is ___ (write a numeric value)
y=4(3)x
y=108
10
An account grows by 6% annually. What is the multiplier per year (b)?
b=1+0.06
b=1.06
10
A value decays by 10% per year. What is the multiplier per year (b)?
b=1-.10
b= 0.9
10
This young wizard is the main character in a book series by J.K. Rowling.
Harry Potter
20
A table shows outputs: 3, 6, 12, 24 for consecutive inputs. Is this linear or exponential?
Exponential
20
A bacteria culture doubles every 2 hours. Starting at 10 bacteria, after 4 hours there are ___ bacteria.
y=10(2)x
y=40
20
A city's population increases by 3% per year. If the current population is 50,000, write the equation.
y=50000(1+0.03)x
OR
y=50000(1.03)x
20
A $200-dollar item loses 25% of its value each year. Write the equation.
y=200(1-0.25)x
OR
y=200(0.75)x
20
This streaming series features the Upside Down and a group of friends battling strange creatures in the 1980s.
Stranger Things
30
Write the exponetial Rule
y=5(2)x
30
A social‑app post has 3 shares at time zero. Each minute, the total number of shares doubles. How many shares will there be after 15 minutes? Write the formula and compute.
y=3(2)x
y=98,304
30
The price increases by 15% each year. With the original price of $100. What is the price after 2 years?
y=100(1+0.15)x OR y=100(1.15)x
y=132
30
A radioactive sample decays at 5% per hour. If initial mass is 17, after 4 hours the mass is ___
y=17(1-0.05)x
y=13.85
30
The chemical water is made of which two elements.
Hydrogen and Oxygen
40
Write the linear equation
y=4x+7
40
Two hamsters start a colony. Each month, every pair produces 2 babies. How many hamsters are there after 7 months?
y=2(2)x
y=256
40
A museum's paper artifact collection appreciates value by 0.62% annually due to rarity. If it were worth $475,000 in today's dollars, model and find the worth after 20 years.
y=475000(1+0.0062)x
y=537,501.73
40
A car depreciates 12% annually. It was originally $10,000 when purchased. What is the price of the car after 3 years?
y=10000(1-0.12)x
y=$6,963.76
40
Although not poisonous, this common household pet can’t taste sweetness because it lacks sweet taste receptors.
A cat
50
Write the exponential equation
y=100(0.8)x
50
A city is hit by a zombie outbreak. It begins with 120 zombies. Every hour, each zombie infects 3 new people. Assume infections occur instantaneously at the end of each hour, and there are no losses. How many people were zombies 2 hours before they hit the city.
y=120(4)x
y=120(4)-4= 7.5
8 zombies
50
A bacteria culture has 500 bacteria and triples every 8 hours. Create a model for the population after t hours and determine the count after 24 hours.
y=500(3)x/8
y=13500 bacteria
50
A model rocket's fuel leaks at a rate such that only 88% remains each minute. If it started with 5 liters, write a model and find the fuel left after 10 minutes.
y=5(0.88)x
y=1.39 liters
50
This is the longest river in the world by some measurements, flowing through northeastern Africa.
The Nile