Non-Math Trivia
The animated film that started the Disney Renaissance.
What is The Little Mermaid?
The time it takes for a quantity to double.
What is doubling time?
Uses the bases property to solve the equation:
4^x = 256
What is x = 4?
A refrigerator purchased for $1800 depreciates at a constant rate of 15% each year. The refrigerator’s value can be modeled by the function R(t) = a *bt, where R is the dollar value and t is the number of years since purchase.
Build an exponential model.
When will the refrigerator be $1150?
1. R(t) = 1800(0.85)t
2. After 3 years, the refrigerator will be $1150.
The winner of the Super Bowl LVI.
Who are the Rams?
The length of time it takes for a substance to exponentially decay to half of its original quantity.
What is a half-life?
Uses the bases property to solve the equation:
(1/6)(x+5) = 6(3x-7)
What is x = 1/2?
The doubling period of a bacterial population is 30 minutes. The initial population of bacteria was 1200
Build an exponential model.
Find the size of the bacterial population after 4 hours.
1. B(t) = 1200(2)(t/30)
2. After 4 hours, the population is 307,200.
log2(3x-2) = 1
What is x = 4/3?
The half-life of a chemical is 1320 years. If a sample contains 150 mg, how many mg will remain after 800 years?
After 800 years, the sample contains around 98.54 mg.