Exponential Growth (Grades 11-12)

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Exponential Growth

1. 
The number of mice in a family triples every 20 days. If a family starts with 13 mice how many mice will there be after 90 days?
  1. 670
  2. 190
  3. 1900
  4. 1824
2. 
A bacteria colony covers [math]5 \ "cm"^2[/math] and grows exponentially. After 4 days it covers [math]80 \ "cm"^2[/math]. How much area will it cover after 2 weeks?
  1. [math]8.2 \ "m"^2[/math]
  2. [math]4300 \ "cm"^2[/math]
  3. [math]4.3 \ "m"^2[/math]
  4. [math]1393 \ "cm"^2[/math]
3. 
Travis gets a job which pays $22.50/h. Samantha gets a job that starts at $0.01/h and doubles every day. How long will it take before Samantha makes more per hour than Travis?
  1. 12 hours
  2. 12 days
  3. Samantha will never make more than Travis
  4. 6 months
4. 
100 years ago a town had 3,000 citizens. If the population doubles every 15 years, what is the population of the town now?
  1. 8,743
  2. 205,104
  3. 304,781
  4. 253,544
5. 
Jamal is offered 2 investment plans. Plan A doubles the investment every 12 years. Plan B triples the investment every 20 years. If Jamal wants to withdraw his investment in 60 years, which plan should he choose?
  1. Plan A
  2. Plan B
  3. They are both the same
  4. Not enough information
6. 
A town begins with 100 people and after 100 years has a population of 3200. The population has
  1. doubled every 25 years
  2. quadruped every 30 years
  3. tripled every 10 years
  4. doubled every 20 years
7. 
A bacteria colony begins with a mass of 15 grams. The bacteria triples every 16 hours. How long will it take to grow to a mass of 82 kilograms?
  1. 6 days 3 hours
  2. 5 days 5 hours
  3. 4 days 16 hours
  4. 128 days
8. 
A store relies on word of mouth advertising so it brings in 30 potential customers and gives them $100 gift cards if they will each tell 5 more friends within a week. If each of those people tell 5 more friends within a week and the pattern continues, how many people will hear about the store after 10 weeks?
  1. 488,281,250
  2. 624,431,250
  3. 292,968,750
  4. 128,281,250
9. 
A family of rabbits begins with 4 rabbits and doubles every 60 days. How many rabbits will there be in the family after 1 year?
  1. 4096
  2. 16384
  3. 205
  4. 271
10. 
Moore's Law states that the number of transistors on an integrated circuit doubles every 2 years. In 1995 the latest processor had 9.3 million transistors. If Moore's Law is correct, how many transistors will be on a processor by the year 2025?
  1. 305 trillion
  2. 1300 million
  3. 305 billion
  4. 45 quadrillion

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