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Exponential Growth (Doubling Time) $A_{t}=A_{0}(2)^{\frac{t}{d}}$

  1. 1
    Use the equation $A_{t}=A_{0}(2)^{\frac{t}{d}}$ to solve. $$ $$ If you start with 3 bacteria and the bacterial colony doubles its population every 2 hours, what will the population be after 8 hours?
  2. 2
    Use the equation $A_{t}=A_{0}(2)^{\frac{t}{d}}$ to solve. $$ $$ If you start with 50 bacteria and the bacterial colony doubles its population every 30 minutes, what will the population be after 4 hours?
  3. 3
    Use the equation $A_{t}=A_{0}(2)^{\frac{t}{d}}$ to solve. $$ $$ If you start with 100 bacteria and the bacterial colony doubles its population every 20 minutes, what will the population be after 3 hours?
  4. 4
    Use the equation $A_{t}=A_{0}(2)^{\frac{t}{d}}$ to solve. $$ $$ If you start with 5 bacteria and the bacterial colony doubles its population every hour, how long will it take to reach a population of 2560?
  5. 5
    Use the equation $A_{t}=A_{0}(2)^{\frac{t}{d}}$ to solve. $$ $$ If you start with 10 bacteria and the bacterial colony doubles its population every 25 minutes, how long will it take to reach a population of 320?
  6. 6
    Use the equation $A_{t}=A_{0}(2)^{\frac{t}{d}}$ to solve. $$ $$ If you start with 120 bacteria and the bacterial colony reaches a population of 7680 in 24 minutes, what is the doubling time for the colony?
  7. 7
    Use the equation $A_{t}=A_{0}(2)^{\frac{t}{d}}$ to solve. $$ $$ If you start with 70 bacteria and the bacterial colony reaches a population of 143360 in 22 hours, what is the doubling time for the colony?
  8. 8
    Use the equation $A_{t}=A_{0}(2)^{\frac{t}{d}}$ to solve. $$ $$ If you start with 35 bacteria and the bacterial colony reaches a population of 8960 in 32 minutes, what is the doubling time for the colony?

$$e=mc^2$$